Bidyut Guha Thakurta and Amitava Mitra Solutions for Exercise 2: EXERCISE 1B

The value of $\frac{\sin \left(60°\right)}{\cos \left(60°\right)}$ is $\sqrt{a}$. Then $a=$ _____.

If $\sin \left(\theta \right)=\cos \left(\theta \right)$, then $\sec \left(\theta \right)=\sqrt{k}$. Then $k=$_____.

If $0°\le \theta \le 90°$ and $\cos \left(\theta \right)=\sec \left(\theta \right)$, then the value of $\theta =$_____$°$.

$\cos \left(\frac{\pi }{4}\right)+\sin \left(\frac{\pi }{4}\right)=\cos ec\left(\frac{\pi }{4}\right)$

$2\sin \left(60°\right)=3\tan \left(30°\right)$.

If $x\sin \left(\theta \right)=1$, then when $\theta =60°, x=2$.

$\cos \left(90°\right)=3\cos \left(0°\right)$

If $0°<\theta <90°$, then $\sin \left(\theta \right)<1$.