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CUET
General Test
Quantitative Reasoning
Trigonometry
If tan 2x = cot(2x - 30°) find the value of sin3x.
\(\frac{1}{\sqrt {2}}\)
-1
0
1
If tan 2x = cot(30°+2x)
(2x - 30° + 2x)=90°
4x = 120°
x = 30°
Now, sin 3x=sin3 × 30°
sin90° = 1