# Show that:

To prove: Let, y = we can say that, we have to prove: tan y = 2y = sin 2y = 3/4

As we know that: sin 2y =  8 tan y = 3 + 3 tan2y

3 tan2y – 8tan y + 3 = 0

tan y = tan y = tan y = or tan y = Hence, tan y = OR

Given: We have to solve for x.

Let, y = x = tan y

LHS = cos y = As, RHS = Let, cot-1(3/4) = θ

cot θ = 3/4

sin θ = RHS = sin θ = 4/5

As, LHS = RHS {given} 5 = 4√(1+x2)

Squaring both sides, we have-

25 = 16(1+x2)

25 = 16 + 16x2

9 = 16x2

x2 = 9/16

x = ±√(9/16) = ±3/4

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