Consider the following statements : 1. \cos^2\theta = 1 - \frac{p^2+a^2}{2pq} , where p, q are non-zero real numbers, is possible only when p = q. 2. \tan^2 \theta = {4pq}/(p+q)^2 -1 , where p, q are non-zero real numbers, is possible only when p = q. Which of the statements given above is/are correct ? [2018 CDS-II]

Correct Answer is : Both 1 and 2

UPSC CDS 2 2018 Math Paper

Question : 66 of 100

Marks: +1, -0

Consider the following statements :
1. cos2θ=1−

p2+a2

2pq

, where p, q are non-zero real numbers, is possible only when p = q.
2. tan2θ=

4pq

(p+q)2

−1 , where p, q are non-zero real numbers, is possible only when p = q.
Which of the statements given above is/are correct ?

[2018 CDS-II]

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