Question

Solve question 112,114,115

Answer 1

114. answer is x.x+y.y/y.y-x.x

Answer 2

112:

tanA = 5/6

Now dividing given expression by cosA then we will get,

(3 tanA - 1)/(5 + 9 tanA) = (2.5 - 1)/( 5 + 7.5)
= 1.5/12.5
= 3/25


114:

similarly we will divide expression by sin(θ)

and substitute the value of cot(θ) = x/y

answer is [ {x}^{2} + {y}^{2} ] / [ {y}^{2} - {x}^{2} ]



115:

Given that:
sinA = 8/11

In figure,

secA = AC/AB = 11 / √57
tanA = CB/AB = 8/ √57

So, substituting values of secA and tanA in (i) we will get 1.

Now for (ii),

cotA = √57 / 8
cosecA = 11/8

Also substituting values of cotA and cosecA in (ii) we will get 0.