Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of tan 48° . tan 23°. tan42° . tan67° is :

Options:

1

$\frac{1}{2}$

$\sqrt{3}$

Correct Answer:

1

Explanation:

By using

tanA × tanB = 1 Iff A + B = 90º

tan 48° . tan 23°. tan42° . tan67°

= tan 48° × cot 42°× tan 23° × cot23°

= 1