Higher Math 2nd Paper MCQ-Barishal Board-2022

1. What is the value of $x$, if $\tan \left(\cos ^{-1} x\right)=$ $\sin \left(\tan ^{-1} 2\right)$ ?

2. What is the distance between two foci of the hyperbole $x^{2}-y^{2}=18$ ?

3. Which is the value of tan $\left(\tan ^{-1} \frac{1}{3}+\tan ^{-1} \frac{1}{2}\right) ?$

4. What is the square root of $8+4 \sqrt{5}$ i?

5. If a projectile is projected with velocity 30 metre/second and horizontal range is 60 metres, then what will be the angle of projection?