Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cot y$=\frac{12}{5}$, then what is the value of $cos^2$y?

Options:

$\frac{72}{143}$

$\frac{72}{91}$

$\frac{144}{169}$

$\frac{84}{143}$

Correct Answer:

$\frac{144}{169}$

Explanation:

cot y = $\frac{12}{5}$

        = $\frac{B}{P}$

B = 12, P = 5

H = $\sqrt{B^2 + P^2}$

   = $\sqrt{144\;+\;25}$ = $\sqrt{169}$ = 13

cos y = $\frac{B}{H}$ = $\frac{12}{13}$

cos²y = $\frac{144}{169}$