If 4sin θ = 3cos θ

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Home Questions E78P864PN3

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 4sin θ = 3cos θ, then what is the value of cosecθ ?

Options:

\(\frac{5}{4}\)

\(\frac{5}{3}\)

Correct Answer:

\(\frac{5}{3}\)

Explanation:

4sin θ = 3cos θ

⇒ \(\frac{sin θ}{cos θ}\) = \(\frac{3}{4}\)

⇒ tan θ = \(\frac{3 (P)}{4 (B)}\)

using Pythagoras theorem ,

Hypotenuse = 5

cosecθ = \(\frac{H}{P}\)= \(\frac{5}{3}\)