pls solve this question fast
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is it derivative?
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Answered by
1
Apply the formula of sine inverse x.
Answer is sine inverse root x
Answer is sine inverse root x
Answered by
4
Hi ..dear..
here is your answer!!!
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..
.∵ y = sinֿ¹ [ x.√(1-x) - √x. √(1-x²) ]
∴ y = sinֿ¹ [ (x). √(1-(√x)²) - √x. √(1-(x)²) ] ....... (1)
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Let : (x) = sin α and √x = sin ß. .................... (2)
Then, from (1),
y = sinֿ¹ [ sin α. √(1-sin² ß) - sin ß. √(1-sin² α) ]
. = sinֿ¹ [ sin α. cos ß - sin ß. cos α ]
. = sinֿ¹ [ sin ( α+ß ) ]
. = α + ß
. = sinֿ¹ x + sinֿ¹ √x ............. from (2..
.
.hope it helped you!!!
Regards Brainly Star Community
#shubhendu
.
here is your answer!!!
..
..
.∵ y = sinֿ¹ [ x.√(1-x) - √x. √(1-x²) ]
∴ y = sinֿ¹ [ (x). √(1-(√x)²) - √x. √(1-(x)²) ] ....... (1)
________________________________
Let : (x) = sin α and √x = sin ß. .................... (2)
Then, from (1),
y = sinֿ¹ [ sin α. √(1-sin² ß) - sin ß. √(1-sin² α) ]
. = sinֿ¹ [ sin α. cos ß - sin ß. cos α ]
. = sinֿ¹ [ sin ( α+ß ) ]
. = α + ß
. = sinֿ¹ x + sinֿ¹ √x ............. from (2..
.
.hope it helped you!!!
Regards Brainly Star Community
#shubhendu
.
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