#if sin^4theta + cost^4theta = L + 3 + k sin^2cos^2 then a) L-k=0 b) L+k=0 c) l + 2k = 0 d) 2L
+k=0
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Answer:
Class 11
>>Applied Mathematics
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>>Introduction of functions
>>If sin^4theta + cos^4theta ...
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If sin
4
θ+cos
4
θ=1−
2
1
f(θ) then f(
4
π
)=
Medium
Solution
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Correct option is
A
1
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
Answered by
0
Answer:
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Step-by-step explanation:
Correct option is
A
1
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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