Question

In the following questions, two statements (i) and (ii) are given. Choose the valid statement.

(i) tan 45° + cot 45° = 2

(ii) sin 20° – cos 70° = 0

पर्याय

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Both (i) and (ii)

Explanation:

(i) tan 45° = 1 and cot 45° = 1.

So, tan 45° + cot 45°

= 1 + 1 

= 2

(ii) cos 70° = sin 20° 

Since cos (90° – θ) = sin θ. 

So, sin 20° – cos 70°

= sin 20° – sin 20°

= 0