Husharmulga.com Choose the correct alternative answer for the following questions. cosec45° =? (A)  1 / √𝟐 (B)  √𝟐 (C) √3 /2 (D) 2 / √3

Choose the correct alternative answer for the following questions. cosec45° =? (A)  1 / √𝟐 (B)  √𝟐 (C) √3 /2 (D) 2 / √3

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Choose the correct alternative answer for the following questions. 1 + tan2θ = ? (A) cot2θ (B) cosec2θ (C) sec2θ (D) tan2θ

Chapter 6 – Trigonometry – Text Book Solution

Problem set 6| Q 1.3| Page 138

Choose the correct alternative answer for the following questions.

1 + tan2θ = ?
(A) cot2θ (B) cosec2θ (C) sec2θ (D) tan2θ

Solution $$\text{The correct answer is (A) } \frac{1}{\sqrt{2}}.$$ We know that $$\csc\theta = \frac{1}{\sin\theta}$$. Therefore, $$\csc 45^\circ = \frac{1}{\sin 45^\circ} = \frac{1}{\frac{1}{\sqrt{2}}} = \frac{\sqrt{2}}{1} = \sqrt{2}$$. So, option (B) $$\sqrt{2}$$ is incorrect. The correct answer is (A) $$\frac{1}{\sqrt{2}}$$.

Solution

The correct answer is (A) 1/√2.

We know that cosecθ = 1/sinθ.

Therefore, cosec45° = 1/sin45° = 1/(1/√2) = √2/1 = √2.

So, option (B) √2 is incorrect.

The correct answer is (A) 1/√2.

Chapter 6 – Trigonometry – Text Book Solution

Problem Set 6 |Q 1.3| P 138

Q.1.2
Q 1.3
Q.1.4

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