Question

sin to the power of 4theta + cos to the power of 4theta=1-2sin square theta cos square theta​

Answer 1

If sin

4

θ+cos

4

θ=1−

2

1

f(θ) then f(

4

π

)=

MEDIUM

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ANSWER

From above sin

4

θ+cos

4

θ=1−

2

f(θ)

f(θ)=(1−sin

4

θ−cos

4

θ)2

f(

4

π

)=(1−sin

4

4

π

+cos

4

4

π

).2

=

⎝

⎛

1−(

2

1

)

4

−(

2

1

)

4

⎠

⎞

2

=(1−

4

1

−

4

1

)×2

=(1−

2

1

)×2=

2

1

×2

f(θ)=1

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