Pre-calculus and Functions

Prove the following identity:

Prove the following identity:

b) 2csc2xtanx/secx = secx

marinejas   227   2 Replies

marinejas

Determine exact value of tan2x,sin2x, and cos2x

Determine exact value of tan2x,sin2x, and cos2x

if cscx= -17/15 and pi<x<3pi/2

marinejas   382   10 Replies

marinejas

Prove the following Trig Identities

Prove the following Trig Identities

1. a) sin(x+y)sin(x-y) = sin^2x - sin^2y
    b) 2csc2xtanx/secx = sec x

marinejas   170   4 Replies

marinejas

Solve the following equations:

Solve the following equations:

Solve the following equations for theta, 0 ≤ theta ≤ 2pi.
a) 7sin^2theta + 2cos2theta = 3 - 2sintheta
b) 5cos2theta = 3cos2theta - √3

marinejas   161   6 Replies

marinejas

Use the appropriate compound angle formula to determine the exact value of each expression.

Use the appropriate compound angle formula to determine the exact value of each expression.

The tan is a lot easier since its easy to calculate or solve all together
a) sin (pi + pi/6)
What I did so far,
sin (a+b) = sinacosb + cosasinb
sin (pi + pi/6) = sin pi cos pi/6 + cos pi sin pi/6
        &

marinejas   157   2 Replies

marinejas

Use a compound angle addition formula to determine an equivalent trig expression for cos(x + 5pi/3)

Use a compound angle addition formula to determine an equivalent trig expression for cos(x + 5pi/3)

cos(x+5pi/3)

marinejas   311   5 Replies

marinejas

Compound Angle Formulas

Compound Angle Formulas

Hi, so sorry for the very long question! Thought it was best to include it all at the same time, since they are all related
1. Determine the exact value of the following:
a) cos 75 degrees         b) sin 5pi/12

marinejas   239   10 Replies

marinejas

If sin β = 6/10 and sin α = -14/19, 0 < β < pi/2, 3pi/2 < α < 2pi,

If sin β = 6/10 and sin α = -14/19, 0 < β < pi/2, 3pi/2 < α < 2pi,

determine sin (β -  α).

marinejas   266   9 Replies

bio_man

Simplify the following expression

Simplify the following expression

2 tan x / 1 - tan^2 x

12

marinejas   500   15 Replies

bio_man

Equivalent Trig Expressions

Equivalent Trig Expressions

1. Write an expression that it equivalent to each of the following expressions using cofunction identities.
a) cos pi/16    b) tan 9pi/10

2. Write an expression that is equivalent to each of the following expressions, using

12

marinejas   839   19 Replies

bio_man

Solve the following equations

Solve the following equations

a) 2sin x + 1 = 0,0 ≤ x ≤ 2pi
b) 3(tan x + 1) = 2,0 ≤ x ≤ 360
c) 2sinxcosx = cos2x, 0 ≤ x ≤ 2pi
d) sin2x = 1/√2, 0 ≤ x ≤ 2pi

marinejas   172   3 Replies

bio_man

Use a compound angle formulas to evaluate the following:

Use a compound angle formulas to evaluate the following:

a) sin 3pi/8cos pi/8 + cos 3pi/8 sin pi/8    b) sin 50 degrees cos 20 degrees - cos 50 degrees sin 20 degrees

marinejas   253   2 Replies

marinejas

How to find the possible equations of a graph?

How to find the possible equations of a graph?

What would be the possible equations for this graph and why/how?

12

marinejas   341   16 Replies

bio_man

What is 1 difference and 1 similarity that circle with a radius of 4m and a circle with a radius

What is 1 difference and 1 similarity that circle with a radius of 4m and a circle with a radius

of 13m would have

marinejas   227   3 Replies

bio_man

How to find the phase shift from a graph?

How to find the phase shift from a graph?

For one of my questions I'm supposed to determine a sine equation and cosine equation for the following graph, I believe I've found the amplitude and the period but had difficulty with finding the phase shift, how would you do that exactly?

marinejas   283   12 Replies

bio_man

Clock Trig Question

Clock Trig Question

1. I have another clock question, I already had sketched everything but wasn't sure on how to exactly solve it because it is a little difference. This time the hour hand is pointing directly at the 9 and the minute pointing at the 12. Then the t

marinejas   185   6 Replies

marinejas

Temperature Question (Trig)

Temperature Question (Trig)

1. The temperature of a swimming pool is cyclic and modelled by a trigonometric function. The
temperature of the pool was first recorded at 12:00 noon and the highest temperature occurred
at 6:00 pm. If its highest temperature is 82 °F and

marinejas   187   4 Replies

marinejas

State the transformations on the function f(x)= 4sin(x-pi)-2 and then graph two cycles below.

State the transformations on the function f(x)= 4sin(x-pi)-2 and then graph two cycles below.

Using a table of values must be used in this case.

marinejas   518   12 Replies

marinejas

Trigonometric Function Question

Trigonometric Function Question

1. If the base is 5 cm long and the acute angle at the base is pi/6 radians, what is the exact area of a right triangle?

marinejas   337   2 Replies

marinejas

Math Thinking Problem

Math Thinking Problem

a line plotted on the cartesian plane has a slope of -1 and passes through the origin.
a) ..what are the possible exact values of the principle angle on the interval [0,2pi]?
b) what are the possible exact values of cos𝜃𝜃 o

marinejas   269   2 Replies

marinejas

A clock is showing the time as exactly 3:00 p.m. and 25 s.

A clock is showing the time as exactly 3:00 p.m. and 25 s.

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a
full minute has not passed since 3:00, the hour hand is pointing
directly at the 3 and the minute hand is pointing directly at the 12. If
the tip of the second hand i

marinejas   503   8 Replies

marinejas

Graphs of Primary Trigonometric Ratios

Graphs of Primary Trigonometric Ratios

Hi! Just wanted to check my answer for my homework worksheets involving graphing of primary trigonometric ratios. Thanks

marinejas   428   11 Replies

marinejas

For each of the following values of cos θ, determine the radian value of θ if pi ≤ θ ≤ 2pi

For each of the following values of cos θ, determine the radian value of θ if pi ≤ θ ≤ 2pi

Hi! sorry for coming back to this section again, but I have another question similar to this, so the question is "For each of the following values of cos θ, determine the radian value of θ if pi ≤ θ ≤ 2pi". I got

marinejas   522   11 Replies

marinejas

Determine the exact value of each trig ratio.

Determine the exact value of each trig ratio.

a) sin 2pi/3

marinejas   435   7 Replies

bio_man

Given the values of sin θ, determine the values of θ over the interval [0, 2pi]

Given the values of sin θ, determine the values of θ over the interval [0, 2pi]

a) -1/2 b) 1/√2

marinejas   370   9 Replies

bio_man

The terminal arm of an angle in standard position passes through each of the following points.

The terminal arm of an angle in standard position passes through each of the following points.

Find the radian value of the angle in the interval [0, 2pi], to the nearest hundredth,
a) (3,11)
b) (5, -3)

marinejas   216   11 Replies

bio_man

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top

of the tower to the ground is 59m. What obtuse angle does the tower make with the ground, to the nearest hundredth of a radian?

marinejas   432   4 Replies

marinejas

Determine the exact value of each trig ratio. Confirm your answer using your calculator

Determine the exact value of each trig ratio. Confirm your answer using your calculator

a) cos (π/2)
b) sin (5π/3)
c) csc (11π/6)

marinejas   395   11 Replies

bio_man

Verifying that a triangle is right angled given all 3 side coordinates

Verifying that a triangle is right angled given all 3 side coordinates

Hi ! I have a problem:

For triangle ABC with A(4,12) B(-2,-2) and C(5,-5) verify that the triangle is a right angled triangle.

I found the distance of all 3 side lengths

AC=17.02
CB=7.61
BA=15.23

theepicseal   150   1 Reply

bio_man

Determining the equation of a triangle median

Determining the equation of a triangle median

May someone please help me with this question?


1) A triangle has vertices K(-1,5), L(2,7) and M(4,-3). Determine the equation of the median KN.


My teacher clarified that it is indeed KN and not KM. He said to draw a

theepicseal   203   1 Reply

bio_man

Finding the length given total distance and distance longer than other point

Finding the length given total distance and distance longer than other point

May anyone solve this question for me?

1) lake A is 1056km longer than lake B. the total length of the two lakes is 7426km. find the length of each lake

Thanks in advance!

theepicseal   211   1 Reply

bio_man

How to calculate invest at each rate

How to calculate invest at each rate

Hi!! May someone assist me in solving this question?

Jane invested $12,000, part at 6percent per annum and the remainder at 8percent per annum. After one year, the total interest from these investments was $880? How much did she invest at

theepicseal   106   1 Reply

bio_man

Expand and simplify quadratic relations

Expand and simplify quadratic relations

May some please solve this for me, it’s super important and I’m just absolutely lost on how to tackle these. The videos given by my teacher were not helpful and don’t link the info needed to go about solving these.

Expand and simp

theepicseal   148   1 Reply

bio_man

Prove the following identities-TRIGONOMETRIC IDENTITIES

Prove the following identities-TRIGONOMETRIC IDENTITIES

TRIGONOMETRIC IDENTITIES

prove the following identities

Sweet16   320   4 Replies

Sweet16

Recall the following graph f(x)=x+2 and f(x)=1/x+2.

Recall the following graph f(x)=x+2 and f(x)=1/x+2.

Please Help
1. f(x) is positive when (-2, ∞) and negative when (-∞, -2). I don't get how they got infinity, -2 from, etc.
another example
2. f(x) is positive when (-2, ∞) and negative when (-∞, -2) and its domain and range, vertic

marinejas   223   12 Replies

marinejas

Identify the properties of the following circular functions

Identify the properties of the following circular functions

1. F(x) = 4sin3(x-π) +5
Amplitude;
Period:
Phase shift:
Vertical shift:
Domain:
Range:

Table of values:
   X    |   180°  |  210°  |   240°  |   270° 

trisha chan   124   1 Reply

bolbol

State the degree of each function

State the degree of each function

f(x)=2x(x-4)


g(x)=(x+3)^2-x^2

tumi   111   1 Reply

bio_man

Help me with my homework please

Help me with my homework please

Hey guys can you help me with my homework?

Suppose that a dome has a semi-elliptical, 72 ft long and 24 ft high. Choose a coordinate system so that the center of the semiellipse is (0,0) with vertices (-36,0) and (36,0) and with the top o

Vince Louis Cacayurin   170   1 Reply

bio_man

Ellipse. How deep does a circular cover with diameter 9 in going to the bowl?

Ellipse. How deep does a circular cover with diameter 9 in going to the bowl?

A spheroid (or oblate spheroid) is the surface obtained by rotating an ellipse around its minor axis. Bowl is the shape of the lower half of a spheroid, that is, its horizontal cross sections are circles while its vertical cross sections that pass th

trisha chan   222   1 Reply

bio_man

reducing the index of radicals

reducing the index of radicals

How would I reduce the index of radicals here? I already have an answer but I'm not sure if it's correct. Please help me. Thank you so much.

1.) Fourth root of 81x^6
2.) Sixth root of 729x^2

Jessa   236   3 Replies

JamIYOU