UPSC CDS 2 2022 Math Paper

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Question : 45 of 100

Marks: +1, -0

Consider the following :
1. ‌

tan‌θ+sin‌θ

tan‌θ−sin‌θ

=‌

sec‌θ+1

sec‌θ−1

, where 0<θ<‌

π

2

.
2. ‌

cos2θ−sin2θ

cos2θ+sin2θ

=‌

2‌tan‌θ

tan2θ+1

, where 0<θ<‌

π

2

.
Which of the above is/are identities?

Only 1
Only 2
Both 1 and 2
Neither 1 nor 2

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