UP TGT Mathematics Trigonometry Test Series - Part 3

If tan(theta) = 3/4 and theta is in the third quadrant, the value of sin(theta) is:

Type: MCQ • Marks: 1
If tan(theta) = 3/4 and theta is in the third quadrant, the value of sin(theta) is:
Options
A. -4 / 5
B. -3 / 5
C. 4 / 5
D. 3 / 5
Explanation
Circular measurement uses radian relation s = r*theta. Special angles (15°, 18°, 36°, 22.5°) are evaluated using half-angle and compound angle expansions.
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