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Find the range of A for the given function in theta.

Find the range of A for the given function in theta.

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Grade:11

1 Answers

Ritesh Khatri
76 Points
4 years ago
Since |sinx|
sin^{8}x\leqslant sin^{2}x
Same we can write for cos
cos^{14}x\leqslant cos^{2}x
 
if we add both equations we get
cos^{14}x + sin^{8}x\leqslant cos^{2}x+sin^{2}x
\Rightarrow cos^{14}x + sin^{8}x\leqslant 1
 
Also since both powers are even both terms are positive

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