Which of the following is not equal to cos(-576) a. cos 216 b. -cos(-36) c. sin 126 d. -sin 54 e. cos 144

ANSWER

C. sin 126°

EXPLANATION

-576° is coterminal with ±216,±144.

Therefore

cos (-576°)=cos(±216°)=cos(±144°)

The principal angle for -576° is 36° .

Since the terminal side of -576° is in the second quadrant and the cosine ratio is negative in the second quadrant,

cos (-576°)=-cos (±36°)

Also from complementary angles

cos (-576°)=-cos (36°)=-sin (90-36)=-sin(54°)

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btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )