Proving Identities

sin^(4)+2sin^(2) cos^(2) + cos^(4) = tan cot

in Trigonometry Answers by Level 1 User (180 points)

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1 Answer

Product of cot and tan = 1, by definition of cotangent.

Rewrite expression in terms of cos(x):

(1-cos²(x))²+2(1-cos²(x))cos²(x)+cos⁴(x)=

1+cos⁴(x)-2cos²(x)+2cos²(x)-2cos⁴(x)+cos⁴(x)=1, QED

by Top Rated User (1.1m points)

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