If $$\tan \theta = \frac{3}{4}{\text{,}}$$ find the value of $${\text{cos2}}\theta $$ ?
A. $$\frac{{24}}{{25}}$$
B. $$\frac{{16}}{{25}}$$
C. $$\frac{7}{{25}}$$
D. $$\frac{9}{{30}}$$
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \tan \theta = \frac{3}{4} \cr & {\text{cos2}}\theta = \frac{{1 - {\text{ta}}{{\text{n}}^2}\theta }}{{1 + {\text{ta}}{{\text{n}}^2}\theta }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{1 - \frac{9}{{16}}}}{{1 + \frac{9}{{16}}}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{\frac{7}{{16}}}}{{\frac{{25}}{{16}}}} \cr & {\text{cos2}}\theta = \frac{7}{{25}} \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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