If tanθ = tan30° .tan60° and θ is an acute angle, then 2θ is equal to?
A. 30°
B. 45°
C. 90°
D. 0°
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{tan}}\theta = {\text{tan}}{30^ \circ }.{\text{tan}}{60^ \circ } \cr & {\text{tan}}\theta = \frac{1}{{\sqrt 3 }}.\sqrt 3 \cr & {\text{tan}}\theta = 1 \cr & {\text{tan}}\theta = {\text{tan}}{45^ \circ } \cr & \theta = {45^ \circ } \cr & \therefore 2\theta = {90^ \circ } \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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