Find $\cos \left(-\frac{7 \pi}{2}\right)

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find $\cos \left(-\frac{7 \pi}{2}\right)$

Options:

$\frac{1}{2}$

-1

Correct Answer:

Explanation:

The concept we use here is :-

cos ( - θ ) = cos θ

Now,

cos ( $\frac{ - 7π}{2}$ )

= cos ( $\frac{7π}{2}$ )

= cos ( 4π - $\frac{π}{2}$ )

= cos ( $\frac{π}{2}$ )

{ $\frac{π}{2}$ = 90º }

= cos90º

= 0