Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 2sinA + cosecA = 2\(\sqrt {2}\), 0° < θ < 90°

than find the value of 2(sin4A + cos4A)

Options:

2

1

4

0

Correct Answer:

1

Explanation:

Put θ = 45° (satisfying the given equation)

2sinA + cosecA = 2\(\sqrt {2}\)

\(\frac{2}{\sqrt {2}}\) + \(\sqrt {2}\) = 2\(\sqrt {2}\) satisfied

⇒ 2((\(\frac{1}{\sqrt {2}}\))4+(\(\frac{1}{\sqrt {2}}\))4)

= 2(\(\frac{1}{4}\)+\(\frac{1}{4}\))

= 1