Question : $\triangle ABC$ is a right triangle. If $\angle B=90^{\circ}$ and $\tan A=\frac{1}{\sqrt{2}}$, then the value of $\sin A \cos C + \cos A \sin C$ is:

Question : In $\triangle ABC$, right angled at B, if $\tan A=\frac{1}{2}$, then the value of $\frac{\sin A(\cos C+\cos A)}{\cos C(\sin C-\sin A)}$ is:

Question : If it is given that for two right-angled triangles $\triangle$ABC and $\triangle$DFE, $\angle$A = 25°, $\angle$E = 25°, $\angle$B = $\angle$F = 90°, and AC = ED, then which one of the following is TRUE?

Question : $ABC$ is a right-angled triangle with $\angle BAC=90°$ and $\angle ACB=60°$. What is the ratio of the circumradius of the triangle to the side $AB\ ?$

Question : If the angle of a right-angled triangle is 35°, then find the other angles.