Question

7. If sin 0 - cos 0 = 0, then find the value of sin4 6 +
cos4 o.​

Answer 1

Answer:

1/2

Step-by-step explanation:

From the above equation, we get,

cosθ = sinθ

Hence, θ = 45°

Therefore,

sin^4 θ + cos^4 θ

= sin^4 45° + cos^4 45°

$= 2 \times ({ \frac{1}{ \sqrt{2} } }^{4}) \\ = 2 \times \frac{1}{4} \\ = \frac{1}{2}$

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