Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If the value of sec B + tan B = r, then the value of sec B - tan B is equal to:

Options:

0

$\frac{1}{r}$

$r^2$

-r

Correct Answer:

$\frac{1}{r}$

Explanation:

Given :-

sec B + tan B = r

We know ,

sec² B - tan² B = 1

( sec B + tan B ) . ( sec B - tan B ) = 1

( sec B - tan B ) =  \(\frac{1 }{( sec B + tan B ) }\)

As, sec B + tan B = r

So , ( sec B - tan B ) =  \(\frac{1 }{r }\)