Q15 of 26 Page 1

Solve for x: .

OR


Prove that:



To solve:


Proof:



Taking sin on both the sides, we get


…(i)


We know that,



and here, x = sin-16√3 x


So, eq. (i) becomes


⇒ cos(sin-16√3 x) = – 6x


We also know that,


sin-1x = cos-1√(1 – x2)





Squaring both the sides, we get


⇒ 1 – 108x2 = 36x2


⇒ -108x2 – 36x2 = -1


⇒ 144x2 = 1
















OR


Taking LHS:



Now, we use the formula



Thus,









Now, we again use the formula,









We know that,






= tan-1(1)




= RHS


∴ LHS = RHS


Hence Proved


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