Question

Prove that sec^4 theta (1-sin^4) -2 tan^2 theta =1

Answer 1

Answer:

1

Step-by-step explanation:

sec^4x (1-sin^4x) - 2tan^2x

1/cos^4x * (1 - sin^2x)(1 + sin^2x) - 2*sin^2x/cos^2x

SO ---- 1 - sin^2x = cos^2x

sin^2x / cos^2x - 2sin^2x / cos^2x

1+sin^2x - 2sin^2x/cos^2x = 1 - sin^2x/cos^2x

cos^2x/cos^2x = 1

Answer 2

Step-by-step explanation:

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