Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sinθ =  \(\frac{8}{15}\), then what is the value of tanθ + cotθ ?

Options:

1

\(\frac{136}{353}\)

\(\frac{353}{136}\)

0

Correct Answer:

\(\frac{353}{136}\)

Explanation:

sinθ =  \(\frac{8}{15}\)

⇒ sinθ = \(\frac{8(P)}{15(H)}\)

using Pythagoras theorem , 

Base = 17

tanθ + cotθ  = \(\frac{P}{B}\)  +  \(\frac{B}{P}\) 

= \(\frac{8}{17}\)  + \(\frac{17}{8}\)   

\(\frac{353}{136}\)