Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos x = $\frac{24}{25}, 0 ≤ x ≤ 90°,$ then the value of cot x + cosec x is :

Options:

0

1

7

$\frac{7}{2}$

Correct Answer:

7

Explanation:

cosx =  \(\frac{24}{25}\)

{ cosx =  \(\frac{B }{H}\) }

P² + B² = H²

P² + 24² = 25²

P = 7

Now,

cot x + cosec x

= \(\frac{B }{P}\) +  \(\frac{H }{P}\)

= \(\frac{24 }{7}\) +  \(\frac{25 }{7}\)

= \(\frac{49}{7}\)

= 7