Question

if cos theta + cos² theta=1, then sin² theta+sin⁴ theta is equal to​

Answer 1

Answer:

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Answer 2

Required Answer:-

Given:

• cos θ + cos² θ = 1

To find:

• The value of sin² θ + sin⁴ θ

Solution:

Given that,

➡ cos θ + cos² θ = 1

➡ cos θ = 1 - cos² θ

Now, we know that,

➡ sin² θ + cos² = 1

➡ sin² θ = 1 - cos² θ

➡ cos θ = sin² θ

Therefore,

sin² θ + sin⁴ θ

= cos θ + (sin² θ)²

= cos θ + cos² θ

= 1

Hence,

➡ sin² θ + sin⁴ θ = 1

Answer:

• sin² θ + sin⁴ θ = 1.