Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Evaluate $\frac{sin 54°}{cos 36°}+\frac{sec 46°}{cosec 44°}$

Options:

0

-1

2

1

Correct Answer:

2

Explanation:

\(\frac{sin54º}{cos36º}\) + \(\frac{sec46º}{cosec44º}\)

{ using concept , sinθ = cos ( 90º - θ ) 

& secθ = cosec ( 90º - θ ) }

= \(\frac{sin54º}{sin54º}\) + \(\frac{sec46º}{sec46º}\)

= 1 + 1

= 2