If sin260° + cos260° + cot245&de

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin²60° + cos²60° + cot²45° + tan²60° + x = 7 , find the value of x .

Options:

-1

Correct Answer:

Explanation:

⇒ sin²60° + cos²60° + cot²45° + tan²60° + x = 7

⇒ ( $\frac{\sqrt {3}}{2}$ )² + ( $\frac{1}{2}$ )² + (1)² + ( $\sqrt {3}$ )² + x = 7

⇒ $\frac{3}{4}$ + $\frac{1}{4}$ + 1 + 3 + x = 7

⇒ 1 + 1 + 3 + x = 7

⇒ x = 2