Question

if sin thita + sin² thita = 1 then prove that cos² thita + cos⁴ thita = 1​

Answer 1

Step-by-step explanation:

This is the answer

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Answer 2

Answer:

Hi your explanation is given below

Step-by-step explanation:

Given:

sinθ + $sin^2$θ = 1

sinθ = 1 - $sin^2$θ

we know that ,

$cos^2 = 1 - sin^2$  

on substituting the values we get,

sinθ = $cos^2$θ  ---------- (1)

To prove:

$cos^2 + cos^4 = 1$ --------- (2)

substituting (1) in (2)

sinθ + $sin^2$θ = 1

Hence proved

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