AP EAMCET · Maths · Trigonometric Ratios & Identities
The maximum and minimum values of the function defined by
for all are respectively
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given, f(x)=5cosx+3cosx+π3+8 =5cosx+3cosxcosπ3-sinxsinπ3+8 =5cosx+3cosx12-sinx32+8 =5cosx+32cosx-332sinx+8 =132cosx-332sinx+8 Now, we know that Asinx+Bcosx∈-A2+B2,A2+B2 Here, we have A=132 and B=332 Therefore, -1322+3322+8≤fx≤1322+3322+8…
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