If sin245° + cos245° + cot230&de

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin²45° + cos²45° + cot²30° + tan²60° - x = 5, find the value of (x - 2).

Options:

Correct Answer:

Explanation:

⇒ sin²45° + cos²45° + cot²30° + tan²60° - x = 5

⇒ ($\frac{1}{\sqrt {2}}$)² + ($\frac{1}{\sqrt {2}}$)² + ($\sqrt {3}$)² + ($\sqrt {3}$)² - x = 5

⇒ 1 + 3 + 3 - x = 5

⇒ x = 2

Now →

x - 2 = 2 - 2 = 0