Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If A = 60°, then what is the value of $(4 \, cos^3\, A - 3 cos \, A )$ ?

Options:

-1

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

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

1

Correct Answer:

-1

Explanation:

4cos³A - 3cosA

Put A = 60º

= 4cos³ 60º - 3cos 60º

= 4 ×( \(\frac{1}{2}\) )³ - 3 ×( \(\frac{1}{2}\) )

= 4 ×( \(\frac{1}{8}\) ) - 3 ×( \(\frac{1}{2}\) )

= ( \(\frac{1}{2}\) ) - ( \(\frac{3}{2}\) )

= -1