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 $tan (\frac{π}{20}) tan (\frac{3 π}{20}) tan (\frac{5 π}{20}) tan (\frac{7 π}{20}) tan (\frac{9 π}{20})$ is

A

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

- 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

\infty

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $1$
$tan (\frac{π}{20}) tan (\frac{3 π}{20}) tan (\frac{5 π}{20}) tan (\frac{7 π}{20}) tan (\frac{9 π}{20})$

$= tan (\frac{π}{20}) tan (\frac{3 π}{20}) tan (\frac{5 π}{20}) tan (\frac{π}{2} - \frac{3 π}{20}) tan (\frac{π}{2} - \frac{π}{20})$

$= tan (\frac{π}{20}) tan (\frac{3 π}{20}) tan (\frac{π}{4}) cot (\frac{3 π}{20}) cot (\frac{π}{20})$

$= 1$

Suggest Corrections

thumbs-up

0

Similar questions

θ

tan (\frac{π}{2} sin θ) = cot (\frac{π}{2} cos θ)

A B C

above, the value of

y

is twice the value of

x

, and the value of

z

is three times the value of

y

. Calculate the value of

x

.

Q. Value of A is 12.56
Value of B is 3 times the value of A.
What is the total value of A and B?

Q. The maximum value of multiplier is when the value of MPC is _________.

a = 3 {cos}^{2} A + {sin}^{4} A

, then which of the following is/are correct?

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