Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 139
If $$\cos\theta + \sin\theta = \sqrt{2}\cos\theta$$, then $$\cos\theta - \sin\theta$$ is
Solution
$$\sin^2 \theta + \cos^2 \theta = 1$$
So, $$\sin^2 \theta + \cos^2 \theta + 2\sin\theta * \cos \theta = 2 \cos^2\theta$$
Hence, $$\cos^2 \theta - \sin^2 \theta = 2 \sin\theta*\cos\theta$$
So, $$\cos\theta - \sin\theta = \sqrt{2}\sin\theta$$
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
