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If 2 cos theta + sin theta =1, then prove that 7 cos theta + 6 sin theta = 2 or 6
If 2 cos theta + sin theta =1, then prove that 7 cos theta + 6 sin theta = 2 or 6

```
2 years ago

ANSHUMAN SINGH
33 Points
```							Multiply 6 in first equation i.e 2costheta+sintheta=1 .We get 12costheta +6sintheta=6Now let, 7costheta+6sintheta=KEliminate sintheta , and get values of sintheta and costheta in terms of KSintheta=2K-7/5 , costheta=6-K/5NOW we know sinsqauretheta +cossquaretheta=1 .put values here in terms of K and then a quadratic equation in K will form , on solving it we get K=6 or 2.hence prooved
```
2 years ago
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### Course Features

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