Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Solve the following equation and find the value of θ.

$3cotθ + tanθ - 2\sqrt{3}=0, 0< θ < 90°$

Options:

30°

45°

60°

15°

Correct Answer:

60°

Explanation:

3 cotθ + tanθ - 2√3 = 0

3 × \(\frac{1}{tanθ}\) + tanθ - 2√3 = 0

tan²θ  - 2√3 tanθ + 3 = 0

On solving,

tanθ = √3

{ we know, tan 60º = √3 }

So, θ = 60º