Question

Prove that 1-tan^4(theta) by 1+tan^4(theta) = cos(theta)+sin(theta) by cos(theta)-sin(theta)

Answer 1

Data given is wrong

Step-by-step explanation:

(1  - Tan⁴θ)/(1 + Tan⁴θ)  = (Cosθ + Sinθ)/(Cosθ - Sinθ)

Lets put θ = 60°

Tan60° = √3

Tan⁴60° = 9

LHS = (1 - 9)/(1 + 9)  = -8/10 = -0.8

Cos60° = 0.5

Sin60° = 0.866

RHS  = (0.5 + 0.866)/(0.5 -0.866)

=  1.366/(-0.366)

= -3.7

LHS ≠ RHS

Hence Data given is wrong

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