Question

If sin theta + sin^2 theta = 1 Show that: cos^2 theta + cos^4 theta = 1​

Answer 1

Answer:

sinθ + sin²θ = 1

=> sinθ + sin²θ = sin²θ + cos²θ

=> sinθ = cos²θ ————— (1)

Now in cos²θ + cos⁴θ = 1

LHS : cos²θ + cos⁴θ —————(2)

=> putting (1) in (2), we get,

sinθ + sin²θ

RHS : 1

since we r given that sinθ + sin²θ = 1

so,

THEREFORE, LHS = RHS

hence proved...