UPSC CDS Math Trigonometric Ratios and Trigonometric Identities Questions

sin225°+sin265°
=sin225°+sin2(90°−25°)
=sin225°+cos225°=160 (c) We know that the maximum value of sin θ = 1
And the maximum value of cos θ = 1
Therefore,sec‌α=

1

4

and cosec‌γ=

1

2

are not possible
tan θ can assume any value. Therefore, only tan β = 20 is possible.