Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 4cot A = 5, then what is the value of 6sec A tan A ?

Options:

$\frac{20\sqrt{41}}{21}$

$\frac{25\sqrt{41}}{24}$

$\frac{24\sqrt{41}}{25}$

$\frac{3}{2}\sqrt{41}$

Correct Answer:

$\frac{24\sqrt{41}}{25}$

Explanation:

4cot A = 5

cotA = \(\frac{5}{4}\) 

P2 + B2 = H2

42 + 52 = H2

H = √41

6sec A tan A = 6 × \(\frac{ √41 }{5}\) × \(\frac{4}{5}\) = \(\frac{24 . √41}{25}\)