Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

$tan(θ - 14π)$ is equal to:

Options:

$tanθ$

$-cotθ$

$cotθ$

$-tanθ$

Correct Answer:

$tanθ$

Explanation:

tan ( θ - 14Π )

= tan( - ( 14Π - θ ) )

= - tan ( 14Π - θ )

= - tan ( 2 × 7Π - θ )

We know , tan(2 × nΠ - θ ) = - tanθ

= - ( - tanθ )

= tanθ