Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosθ + sinθ = \(\sqrt {2 }\)sinθ; then find value of cotθ

Options:

1

\(\sqrt {2 }\) - 1

1 + \(\sqrt {2 }\)

 

2\(\sqrt {2 }\)

Correct Answer:

\(\sqrt {2 }\) - 1

Explanation:

cosθ + sinθ = \(\sqrt {2 }\)sinθ

⇒ cotθ + 1 = \(\sqrt {2 }\)               (divide by sinθ)

⇒ cotθ = \(\sqrt {2 }\) - 1