Question

The value of $sin\left(2ta{n}^{-1}\frac{1}{3}\right)+cos\left(ta{n}^{-1}2\sqrt{2}\right)$ is

• A. $\frac{14}{15}$
• B. $-\frac{14}{15}$
• C. $\frac{13}{12}$
• D. $\frac{12}{13}$

Answer 1

The correct option is A $\frac{14}{15}$

$sin\left(ta{n}^{-1}\frac{3}{4}\right)+cos\left(ta{n}^{-1}2\sqrt{2}\right)=sin\left(si{n}^{-1}\frac{3}{5}\right)+cos\left(co{s}^{-1}\frac{1}{3}\right)=\frac{3}{5}+\frac{1}{3}=\frac{14}{15}$