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ramesh bairwa

· started a discussion

· 1 Months ago

a (Question: 221884.0 )

solution?

Question:
The greatest value of 4sin2\(\theta\) + 9cos2\(\theta\) is –  
Options:
A) 7
B) 9
C) 8
D) 10
Solution:
Ans: (b) 4 sin2\(\theta\) + 9 cos2\(\theta\)

= 4 sin2\(\theta\) + 9 (1– sin2\(\theta\))

= 4 sin2\(\theta\) + 9 – 9 sin2\(\theta\)

= 9 – 5sin2\(\theta\)

for maximum value of function 

5 sin2\(\theta\) = 0  {\(\theta\) = 0 }

\(\therefore\) Maximum value = 9 – 0 = 9

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