Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of ${cosec}\left(60^{\circ}+A\right)-\sec \left(30^{\circ}-A\right)+\frac{{cosec} 49^{\circ}}{\sec 41^{\circ}}$.

Options:

1

0

-1

-2

Correct Answer:

1

Explanation:

cosec ( 60º + A ) - sec ( 30º - A ) + \(\frac{cosec 49º }{sec 41º}\)

{ using , cosec ( 90º - A ) = sec A }

= sec ( 30º - A ) - sec ( 30º - A ) + \(\frac{sec 41º }{sec 41º}\)

= 1