- April 15, 2020 06:04:20 PM
- 6 minutes
- More

The function of an angle i.e the angles and sides relationships is given by trigonometric functions. Sine, cosine, tangent, cotangent, Cos, Cosec are the trigonometric functions. We have different trigonometric values for these trigonometric functions for various angles like 30 0, 600 etc.

To classify the trigonometric functions, the angles of Sine, cosine and tangent are the primary ones.

Cos2 theta formula |

Cos 2 theta= 1 – sin2 theta |

**Question**: What is the value of cos square x, if Sin x = ⅗?

Solution: **Cos 2 x = 1 – Sin2 x**

= 1 – (⅗)2

= 1 – 9/25

= (25 – 9) / 25

= 16/25

Cos x = 4/5

**Question 2: If sin A = 7/25, then find cos2A and cos2A – sin2A.**

Solution:

Given,

sin A = 7/25

We know that,

cos2A = 1 – sin2A

= 1 – (7/25)2

= 1 – 49/625

= (625 – 49)/625

= 576/625

Therefore, cos2A = 576/625

Now,

cos2A – sin2A = (576/625) – (49/625)

= 527/625

**Question 3: If cos2x – sin2x = 41/841, then find the value of cos2x**.

Solution:

Given,

cos2x – sin2x = 41/841

Substituting sin2x = 1 – cos2x in the above equation,

cos2x – (1 – cos2x) = 41/841

2 cos2x – 1 = 41/841

2 cos2x = 1 + 41/841

2 cos2x = 882/841

cos2x = 882/(841 × 2)

cos2x = 441/841

- October 29, 2020
- 259

- September 01, 2020
- 267

- August 06, 2020
- 240

- July 09, 2021
- 107

- August 01, 2020
- 207

- August 01, 2020
- 258

- July 17, 2020
- 357

- August 14, 2020
- 445

- September 11, 2020
- 199

- June 29, 2020
- 996

- March 29, 2020
- 257

- August 30, 2020
- 197

- June 21, 2021
- 495

- August 26, 2021
- 340

- August 26, 2021
- 448

- July 09, 2021
- 434

- July 30, 2020
- 884

- February 25, 2022
- 216

- May 03, 2021
- 661

- August 01, 2020
- 816

- July 07, 2021
- 588

- August 04, 2020
- 372

- Page is Spam
- Page is Fake
- Page is Offensive Content
- Page Not Appropriate

Subscribe to Adhost Inc.

All Rights Reserved © 2022

This website uses cookies to ensure you get the best experience on our website. Learn More

## 0+ Comments