Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan θ + sin θ = A and tan θ - sin θ = B, then what is the value of $A^2 - B^2$ ? 

Options:

tan θ sin θ

4 cot θ

4 tan θ sin θ

2 tan θ sin θ

Correct Answer:

4 tan θ sin θ

Explanation:

A² - B²

= ( tan θ + sin θ )²   -  ( tan θ - sin θ )² 

= tan² θ + sin² θ + 2 tan θ . sin θ  - tan² θ - sin² θ + 2 tan θ . sin θ

= 4 tan θ . sin θ