If sinθ = 4cosθ, then what is the value of sinθcosθ?
A. $$\frac{2}{9}$$
B. $$\frac{3}{{10}}$$
C. $$\frac{4}{{17}}$$
D. $$\frac{3}{4}$$
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & \sin \theta = 4\cos \theta \cr & \tan \theta = 4 \cr & \sin \theta .\cos \theta = \frac{4}{{\sqrt {17} }} \times \frac{1}{{\sqrt {17} }} = \frac{4}{{17}} \cr} $$
This Question Belongs to Arithmetic Ability >> Trigonometry
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