Which of the following is/are identity/identities? 1. { \sin ^{3}⁡\theta + \cos ^{3}⁡\theta }/{ \sin ⁡\theta + \cos ⁡\theta } + \sin ⁡\theta \cos ⁡\theta = 1;0 < \theta < \frac{\pi }{2} 2. 1 - sin6 θ = cos2 θ (cos4 θ + 3 sin2 θ) Select the correct answer using the code given below:

Correct Answer is : Both 1 and 2

UPSC CDS 2 2023 Math Paper

Question : 71 of 100

Marks: +1, -0

Which of the following is/are identity/identities?
1. ‌

sin‌3⁡θ‌‌+‌cos‌3⁡θ‌

sin‌⁡θ‌‌+‌cos‌⁡θ‌

+sin‌⁡θcos⁡θ = 1;0<θ<‌

π‌

2. 1 - sin6 θ = cos2 θ (cos4 θ + 3 sin2 θ)
Select the correct answer using the code given below:

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