(sin^-1)sin4
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0
Answer:
The correct answer is (π−4).
Step-by-step explanation:
As we know that,
n radian =(n×
π
180°
)
Therefore,
1 radian ≈60°
⇒4 radian ≈240°
Therefore, 4 radian will lie in 3
rd
quadrant.
Therefore,
4 radian =π+x⇒x=(4−π)
Whereas, x is an acute angle
∴sin4=sin(π+x)=−sinx
∴sin
−1
sin4=sin
−1
(−sinx)=−x=−(4−π)=(π−4)
Therefore,
sin
−1
(sin(4))=(π−4)
Hence the correct answer is (π−4).
Sir, please mark this answer as the Brainliest
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