If cotA=\(\frac{15}{8}\) find the value

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cotA=\(\frac{15}{8}\)

find the value of tan2A.

Options:

\(\frac{200}{161}\)

\(\frac{240}{161}\)

\(\frac{243}{161}\)

\(\frac{249}{161}\)

Correct Answer:

\(\frac{240}{161}\)

Explanation:

= cotA = \(\frac{15}{8}\)

= tanA = \(\frac{8}{15}\)

Put in → tan2A=\(\frac{2tanA}{1-tan^2A}\)

⇒\(\frac{2×\frac{8}{15}}{1-\frac{64}{225}}\) =\(\frac{16}{15}\)×\(\frac{225}{161}\)

= \(\frac{240}{161}\)