Question
Download Solution PDFFind the minimum value of expression 7sin θ + 8cos θ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A trigonometric expression 7sin θ + 8cos θ is given
Formula Used:
Basic concept of trigonometric ratio and identities
We know that
Minimum value for expression a sin θ + b cos θ = -√(a2 + b2)
Calculation:
The expression is 7 sin θ + 8cos θ
Now, by comparing the given expression with the standard expression the value of a and b are
∴ a = 7 and b = 8
∴ Minimum value = -√{(7)2 + (8)2}= -√113
Hence, option (2) is correct
Last updated on May 29, 2025
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