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abciara101 abciara101
wrote...
11 years ago
I need help now. Someone help me, please.
Use the trigonometric identity to find the value of angel

sin (2Q) + cos (2Q) = 0

Q= angel

Thanks you.
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wrote...
#1
11 years ago
Don't be faked out by the 2Q thing.

Let x = 2Q

Then the equation turns into sin x + cos x = 0
or
sin x = -cos x

Contemplate your unit circle for a while, and you should see that this is true when x = 135 degrees or x = 315 degrees.

But x = 2Q
so Q = x/2

Hence, the answers are 67.5 degrees and 157.5 degrees.

If they want you to stick to the interval between 0 and 90 degrees, then the answer would of course be 67.5 degrees.
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