Consider the following statements : 1. If 45^\circ 1. 2. If 0^\circ 2. 3. If 0^\circ

UPSC CDS Math Trigonometric Ratios and Trigonometric Identities Questions

Question : 35 of 107

Marks: +1, -0

Consider the following statements :
1. If 45°<θ<60°, then sec2‌θ+cosec2‌θ=α2 for some real number α>1.
2. If 0°<θ<45°, then

1+cos‌θ

1−cos‌θ

=x2 for some real number x>2.
3. If 0°<θ<45°, then

cos‌θ

1−tan‌θ

sin‌θ

1−cot‌θ

≥2
What is the number of true statements ?

[2017 CDS-II]

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