Telangana Board Solutions for Chapter: Trigonometry, Exercise 5: Exercise

Evaluate $\sin 45°+\cos 45°$

If $\frac{\cos 45°}{\sec 30°+cosec 60°}=\frac{\sqrt{3}}{k\sqrt{2}}$, then find the value of $k$

Evaluate the following.

$\frac{\sin 30°+\tan 45°-cosec 60°}{\cot 45°+\cos 60°-\sec 30°}$

Evaluate the following.

$2{\tan }^{2}45°+{\cos }^{2}30°-{\sin }^{2}60°$

Evaluate the following.

$\frac{{\sec }^{2}60°-{\tan }^{2}60°}{{\sin }^{2}30°+{\cos }^{2}30°}$

In right angle triangle $△PQR$, right angle is at $Q,\mathit{ }PQ=6 \mathrm{cm}$ and $\angle RPQ=60°$. Determine the lengths of $QR$ and $PR$.

In $\mathit{△}XYZ$, right angle is at $Y, YZ=x$, and $XZ=2x$. Then determine $\angle YXZ$ and $\angle YZX$.

Is it right to say that $\sin (A+B)=\sin A+\sin B$? Justify your answer.