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 $$csctheta = frac{1}{sintheta}$$.
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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