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UP TGT Mathematics Trigonometry Test Series - Part 4

If cos(theta) = 3/5, then the value of tan(theta/2) (assuming theta in first quadrant) is:

Type: MCQ • Marks: 1
If cos(theta) = 3/5, then the value of tan(theta/2) (assuming theta in first quadrant) is:
Options
A. 1 / 3
B. 2
C. 3
D. 1 / 2
Explanation
Correct Answer: Option 4 (1 / 2). Multiple angle identities (sin 2A, cos 2A, sin 3A, cos 3A) and half-angle relations evaluate multi-angle products and trigonometric maximum/minimum values.
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