Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of sin 35° cos 55°+ cos 35° sin 55° is:

Options:

0

$\frac{3}{4}$

$\frac{1}{2}$

1

Correct Answer:

1

Explanation:

We know,

sinA = cosB  iff A + B = 90 °

ATQ,

sin 35° cos 55°+ cos 35° sin 55°

= sin 35° sin35°+ cos 35° cos35°

= sin²35° + cos²35°

{ we know, sin²A + cos²A = 1 }

= 1