CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Trigonometric Ratios of Allied Angles

The value of ...

Question

The value of $tan \frac{π}{7} + tan \frac{2 π}{7} + tan \frac{3 π}{7} + tan \frac{4 π}{7} + tan \frac{5 π}{7} + tan \frac{6 π}{7} + tan \frac{7 π}{7} =$

Open in App

Solution

$tan \frac{π}{7} + tan \frac{2 π}{7} + tan \frac{3 π}{7} + tan \frac{4 π}{7} + tan \frac{5 π}{7} + tan \frac{6 π}{7} + tan \frac{7 π}{7}$

$= (tan \frac{π}{7} + tan \frac{6 π}{7}) + (tan \frac{2 π}{7} + tan \frac{5 π}{7}) + (tan \frac{3 π}{7} + tan \frac{4 π}{7}) + tan π$

$= (tan \frac{π}{7} - tan \frac{π}{7}) + (tan \frac{2 π}{7} - tan \frac{2 π}{7}) + (tan \frac{3 π}{7} - tan \frac{3 π}{7}) + 0$

$= 0$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The value of

tan \frac{π}{7} + tan \frac{2 π}{7} + tan \frac{3 π}{7} + tan \frac{4 π}{7} + tan \frac{5 π}{7} + tan \frac{6 π}{7} + tan \frac{7 π}{7} =

Q. The value of

cos \frac{π}{7} + cos \frac{2 π}{7} + cos \frac{3 π}{7} + cos \frac{4 π}{7} + cos \frac{5 π}{7} + cos \frac{6 π}{7} + cos \frac{7 π}{7}

Q. The value of

\frac{tan^{2} \frac{π}{7} + tan^{2} \frac{2 π}{7} + tan^{2} \frac{3 π}{7}}{cot^{2} \frac{π}{7} + cot^{2} \frac{2 π}{7} + cot^{2} \frac{3 π}{7}}

Q. The value of

\sqrt{7 + \sqrt{7 - \sqrt{7 + \sqrt{7 - . . . . . \infty}}}}

Q. Find the value of

(\sqrt{7} + \sqrt{7}) (\sqrt{7} - \sqrt{7})

.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Trigonometric Ratios of Allied Angles

Standard XIII Mathematics

Join BYJU'S Learning Program

CrossIcon