If $\cot ^2 \alpha+\tan ^2 \alpha=2,0^{\

CUET Preparation Today

Start Free Mocks

Home Questions HWA7UB3CD6

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\cot ^2 \alpha+\tan ^2 \alpha=2,0^{\circ} \leq \alpha \leq 90^{\circ}$, then find the value of $a$

Options:

0°

45°

60°

90°

Correct Answer:

45°

Explanation:

cot²α + tan²α = 2

Bu putting option 1 by 1 , only option 2 fits well .

Put α = 45°

= cot²45° + tan²45°

= 1 + 1

= 2

Hence α = 45°