Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The expression 3 sec2θ tan2θ + tan6θ − sec6θ is equal to:

Options:

-2

1

2

-1

Correct Answer:

-1

Explanation:

3 sec²θ.tan²θ + tan6 θ - sec6 θ

Put θ = 45º

= 3 sec²45º . tan²45º + tan6 45º - sec6 45º

= 3 × 2 × 1 + 1 - 8

= -1