find the least value of 3 sinx - 4cosx +7 please answer in radio button
Answers
Answered by
8
Given: The expression 3 sinx - 4cosx +7
To find: Maximum and minimum value of the given expression.
Solution:
- Now the given expression is 3 sinx - 4cosx +7
- When any expression of the form a sin x + b cos x or a sin x - b cos x is there, the maximum value is √a²+b² and minimum value is -√a²+b².
- So, we have: 3 sinx - 4cosx +7
- maximum value = √(3² + 4²) + 7
= √25 + 7
= 5 + 7
= 12
- minimum value = -√(3² + 4²) + 7
= -√25 + 7
= -5 + 7
= 2
Answer:
So the minimum value is 2 and maximum value is 12.
Answered by
0
above is your answer ok..!!
Attachments:
Similar questions
Computer Science,
4 months ago
Physics,
4 months ago
Geography,
4 months ago
English,
9 months ago
English,
9 months ago