Find the value of:
sin 30/cos 45+tan 45/sec 60-cos 30/tan 45-sin 60/sin 90

Open in App

Solution

$\frac{\sin 30}{\cos 45} + \frac{\tan 45}{s e c 60} - \frac{\cos 30}{\tan 45} - \frac{\sin 60}{\sin 90} = \frac{\frac{1}{2}}{\frac{1}{\sqrt{2}}} + \frac{1}{2} - \frac{\frac{\sqrt{3}}{2}}{1} - \frac{\frac{\sqrt{3}}{2}}{1} = \frac{\sqrt{2}}{2} + \frac{1}{2} - \frac{\sqrt{3}}{2} - \frac{\sqrt{3}}{2} = \frac{\sqrt{2} + 1 - 2 \sqrt{3}}{2}$

Suggest Corrections

Similar questions

\frac{\sin 30 °}{\cos 45 °} + \frac{\cot 45 °}{\sec 60 °} - \frac{\sin 60 °}{\tan 45 °} - \frac{\cos 30 °}{\sin 90 °}

\frac{sin 30 °}{cos 45 °} + \frac{cot 45 °}{sec 60 °} - \frac{sin 60 °}{tan 45 °} + \frac{cos 30 °}{sin 90 °}

Solve : $\frac{sin 30^{\circ} + tan 45^{\circ} - c o s e c 60^{\circ}}{sec 30^{\circ} + cos 60^{\circ} + cot 45^{\circ}}$

\frac{\sin 30 °}{\sin 45 °} + \frac{\tan 45 °}{\sec 60 °} - \frac{\sin 60 °}{\cot 45 °} - \frac{\cos 30 °}{\sin 90 °}

\frac{sin 30^{\circ}}{sin 45^{\circ}} + \frac{tan 45^{\circ}}{sec 60^{\circ}} - \frac{sin 60^{\circ}}{cot 45^{\circ}} - \frac{cos 30^{\circ}}{sin 90^{\circ}}

Join BYJU'S Learning Program