The value of $(sin^4 45° +cos^4

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of $(sin^4 45° +cos^4 60°) + (tan^4 45° + cot^4 45°)$ is:

Options:

$\frac{37}{16}$

$\frac{33}{16}$

$\frac{35}{16}$

$\frac{39}{16}$

Correct Answer:

$\frac{37}{16}$

Explanation:

( sin4 45º + cos4 60º ) + ( tan4 45º + cot4 45º )

= ( $\frac{1}{4}$ + $\frac{1}{16}$ )+ ( 1 + 1 )

= ( $\frac{5}{16}$ ) + ( 2 )

= ( $\frac{37}{16}$ )