Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Find the value of angle 
, if 
is an acute angle
(i) 
(ii) 
(iii) 
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: We know that the sine, cosine, and tangent values of angles are fundamental to determining the angle itself.
Step 2: Given the conditions:
- implies that it is an acute angle.
- has the following values:
for ; indicating the ratios of sine, cosine, and tangent.
- Since sin θ = 1/2, θ can be determined as follows: θ = 30° (or π/6). This satisfies the acute condition.
Step 3: Therefore, the angle is 30°.
Thus, the answer is Option A.
Therefore, A.
Step 2: Given the conditions:
-
implies that it is an acute angle.-
has the following values: for ; indicating the ratios of sine, cosine, and tangent.- Since sin θ = 1/2, θ can be determined as follows: θ = 30° (or π/6). This satisfies the acute condition.
Step 3: Therefore, the angle
is 30°.Thus, the answer is Option A.
Therefore, A.
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