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Question

If a=3cos2A+sin4A, then which of the following is/are correct?

A
The minimum value of a is 1
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B
The minimum value of a is 0
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C
The maximum value of a is 3
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D
The maximum value of a is 4
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Solution

The correct options are
A The minimum value of a is 1
C The maximum value of a is 3
Given : a=3cos2A+sin4A
a=sin4A3sin2A+3a=(sin2A32)2+34
We know that,
0sin2A132sin2A321214(sin2A32)2941(sin2A32)2+343

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