Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If θ = 30°, then find sin2θ + 2cosθ.

Options:

1

2\(\frac{√3}{2}\) 

3\(\frac{√3}{2}\) 

\(\frac{√3}{2}\) 

Correct Answer:

3\(\frac{√3}{2}\) 

Explanation:

sin2θ + 2cosθ  = sin ( 2× 30)° + 2cos30° 

= \(\frac{√3}{2}\) + 2 × \(\frac{√3}{2}\)   = 3\(\frac{√3}{2}\)