CBSE BOARD XII, asked by Sanchi121, 1 year ago

pls solve this question fast

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AbhishGS: is it derivative?
Sanchi121: no inverse trigonometry
AbhishGS: okk this topic is not started in my class. so asking
Sanchi121: ok

Answers

Answered by Phor
1
Apply the formula of sine inverse x.
Answer is sine inverse root x

Sanchi121: sorry I couldn't get it pls can I get some more details??
Phor: offcourse
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Answered by Shubhendu8898
4
Hi ..dear..
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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Sanchi121: by the way where r you from
Shubhendu8898: i am from yp
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Sanchi121: I am from OD
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