Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The expression $(cos^6\theta + sin^6\theta - 1) (tan^2\theta +cot^2\theta +2) +3 $ is equal to :

Options:

0

1

2

-1

Correct Answer:

0

Explanation:

( cos6θ + sin6θ  - 1 ) ( tan2θ  + cot2θ  + 2 ) + 3

Put θ  = 45º
= ( cos645º+ sin645º  - 1 ) ( tan245º  + cot245º  + 2 ) + 3 

= ( \(\frac{1}{8}\) + \(\frac{1}{8}\) - 1 ) ( 1 + 1 + 2 ) + 3

= - \(\frac{3}{4}\) × 4 + 3

= 0