×

#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
What is the value of tan 6 π/9 – 33 tan 4 π/9 + 27 tan 2 π/9?

```
one year ago

Arun
25333 Points
```							Use triple angle formula:tan(3x) = (3 tan(x) − tan³(x)) / (1 − 3 tan²(x))(3 tan(π/9) − tan³(π/9)) / (1 − 3 tan²(π/9)) = tan(π/3)(3 tan(π/9) − tan³(π/9)) / (1 − 3 tan²(π/9)) = √3(3 tan(π/9) − tan³(π/9)) = √3 (1 − 3 tan²(π/9))Square both sides:(3 tan(π/9) − tan³(π/9))² = 3 (1 − 3 tan²(π/9))²tan⁶(π/9) − 6 tan⁴(π/9) + 9 tan²(π/9) = 3 (9 tan⁴(π/9) − 6 tan²(π/9) + 1)tan⁶(π/9) − 6 tan⁴(π/9) + 9 tan²(π/9) = 27 tan⁴(π/9) − 18 tan²(π/9) + 3tan⁶(π/9) − 6 tan⁴(π/9) − 27 tan⁴(π/9) + 9 tan²(π/9) + 18 tan²(π/9) = 3tan⁶(π/9) − 33 tan⁴(π/9) + 27 tan²(π/9) = 3
```
one year ago
Vikas TU
13783 Points
```							Dear student For short cut you can you this link https://www.askiitians.com/forums/Trigonometry/tan-6-180-9-33-tan-4-180-9-27-tan2-180-9-is_108047.htmGood Luck
```
one year ago
TEJA KRISHNA
42 Points
```							tan(3x) = (3 tan(x) − tan³(x)) / (1 − 3 tan²(x))(3 tan(π/9) − tan³(π/9)) / (1 − 3 tan²(π/9)) = tan(π/3)(3 tan(π/9) − tan³(π/9)) / (1 − 3 tan²(π/9)) = √3(3 tan(π/9) − tan³(π/9)) = √3 (1 − 3 tan²(π/9))Square both sides:(3 tan(π/9) − tan³(π/9))² = 3 (1 − 3 tan²(π/9))²tan⁶(π/9) − 6 tan⁴(π/9) + 9 tan²(π/9) = 3 (9 tan⁴(π/9) − 6 tan²(π/9) + 1)tan⁶(π/9) − 6 tan⁴(π/9) + 9 tan²(π/9) = 27 tan⁴(π/9) − 18 tan²(π/9) + 3tan⁶(π/9) − 6 tan⁴(π/9) − 27 tan⁴(π/9) + 9 tan²(π/9) + 18 tan²(π/9) = 3tan⁶(π/9) − 33 tan⁴(π/9) + 27 tan²(π/9) = 3
```
9 months ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Trigonometry

View all Questions »

### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution

### Course Features

• 31 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions