Question

Fill in the empty boxes :

If sinθ + sin²θ = 1
then ,
cos²θ + cos⁴θ = sinθ + sin²θ = ☐ + ☐
sinθ = ☐

Now,cos²θ + cos⁴θ =cos²θ+(☐)²
= sinθ +(☐)²
= sinθ (☐)²
= (☐)​

Answer 1

Answer:

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Step-by-step explanation:

Here is your solution

If , sinθ + sin²θ=1---------------(1)

then cos²θ + cos⁴θ = ?

From equation (1)

sinθ + sin²θ=1

sin²θ=1-sinθ

(we know that sin²θ=1-cos²θ)

1-cos²θ=1-sinθ

cos²θ=sinθ

cos⁴θ =sin²θ

Now

cos⁴θ =sin²θ

cos⁴θ=1-cos²θ

cos²θ+cos⁴θ=1✔

hopeit helps you