J P Mohindru and Bharat Mohindru Solutions for Chapter: Introduction to Trigonometry, Exercise 7: FOR ASSESSMENT

If $\cos A\mathit{=}\frac{7}{25}$, find the value of $\tan A+\cot A$.

If $\sin \theta =\frac{1}{3}$, then find the value of $2{\cot }^2\theta +2$.

If ${\sec }^2\theta (1+\sin \theta )(1-\sin \theta )=k,$ then find the value of $k$.

If ${\sin }^2\theta {\cos }^2\theta (1+{\tan }^2\theta )(1+{\cot }^2\theta )=k$, then find the value of $k$.

If $5x=\sec \theta$ and $\frac{5}{x}=\tan \theta$, find the value of $5(x^2-\frac{1}{x^2})$.

If $\cos ec \theta =2x$ and $\cot \theta =\frac{\mathit{2}}{\mathit{x}}$, find the value of $2(x^2-\frac{1}{x})$.

If $x=a\sin \theta , y=b\cos \theta$, what is the value of $b^2{x}^2+a^2{y}^2$?

From the sum, we get $a^{\text{k}}{b}^2$ , write the value of k.

Value of $(\sin 60°\cos 30°-\cos 60°\sin 30°)$ is