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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
Options
Only (i)
Only (ii)
Both (i) and (ii)
Neither (i) nor (ii)
MCQ
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Solution
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
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