Q7 of 73 Page 89

If then show that f(tanθ) = sin 2θ.

Given:


Need to prove: f(tanθ) = sin 2θ



⇒ [as 1 + tan2 θ = sec2 θ]


⇒ [as and ]


⇒ [Proved]


More from this chapter

All 73 →
5

If f(x) = and then prove that f{(x)} = , when it is given that .

 6

If then show that f [f{f(x)}] = x.

 8

If , prove that x = f(y).

 1

Find the domain of each of the following real function.

(i)


(ii)


(iii)


(iv)