Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If θ is a positive acute angle and tan2θ tan3θ = 1

find the value of (2cos2\(\frac{5θ}{2}-1\)).

Options:

\(\frac{-1}{2}\)

1

0

\(\frac{1}{2}\)

Correct Answer:

0

Explanation:

If tan2θ tan3θ = 1

than 2θ + 3θ = 90°

θ = 18°

Put in find out

(2cos2\(\frac{18\;×\;5}{2}\;-\;1\))

= 2 × (\(\frac{1}{\sqrt {2}}\))2 - 1

= 2 × \(\frac{1}{2}\) - 2

= 0