Introduction to...

If $$\sec{2A}=\csc{(A-42^\circ)}$$ where $$2A$$ is acute angle then value of $$A$$ is

The value of $$\displaystyle\frac{\cot{40^\circ}}{\tan{50^\circ}}-\frac{1}{2}\left(\frac{\cos{35^\circ}}{\sin{55^\circ}}\right)$$ is ____________.

If $$\displaystyle  2\sin 2\theta =\sqrt{3}$$ then the value of $$\displaystyle  \theta$$ is

For an acute angle $$\theta$$ in a right angled triangle, $$\dfrac{1}{\text{cosec}\,{\theta}} =$$

The value of $$\cos0^0$$ is ______.

$${\sec}^{2}{60^o} - 1= $$

The value of $$\left(\cos{60^o} \cos{30^o} - \sin{60^o} \sin{30^o}\right)$$ is

For an acute angle $$\theta$$ in a right angled triangle, $$\dfrac{\sin{\theta}}{\cos{\theta}} =$$

For an acute angle $$\theta$$ in a right angled triangle, $$\dfrac{\cos{\theta}}{\sin{\theta}} =$$

For an acute angle $$\theta$$ in a right angled triangle, $$\dfrac{1}{\tan{\theta}} =$$