Tan45 tan13 tan77 tan85=1

Open in App

Solution

tan45°tan13°tan77°tan85°
=1×tan13°tan(90-13)tan85
=1×tan13°.cot13°.tan85°
=tan85°

Suggest Corrections

Similar questions

(1 + tan 1^{\circ}) (1 + tan 2^{\circ}) \dots (1 + tan 45^{\circ})

{log}_{tan 45^{\circ}} (tan 45^{\circ})

tan 20^{\circ} tan 35^{\circ} tan 45^{\circ} tan 55^{\circ} tan 70^{\circ} = 1

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

(1 + tan 1^{\circ}) (1 + tan 2^{\circ}) . . . . (1 + tan 45^{\circ}) = 2^{\circ},

Join BYJU'S Learning Program