functions...3!!!

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If f(x) = sin²x + sin² (x+Î /3) + cosx . cos (x + Î /3) and g(5/4) = 1 , then:
a. f(Î /12) = 5/4
b. gof (Î /10) = 1
c. gof is a constant function
d. fog is a constant function

#Mathematics #Calculus

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6 Answers

voldy ·2009-04-22 21:56:48

can u make the Q more clear
there are two = signs

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Surbhi Agrawal ·2009-04-22 22:00:43

sorry!!!.[4] ... i have corrected!!!!

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Surbhi Agrawal ·2009-04-22 22:01:25

how to find gof?????

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Surbhi Agrawal ·2009-04-22 22:03:18

but g(x) to defined hi nahin hai!!!!!

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Surbhi Agrawal ·2009-04-22 22:03:36

ohkkkkkkk!!!

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106

Asish Mahapatra ·2009-04-25 02:49:01

f(x) = sin²x + sin²(x+pi/3) + cosx.cos(x+pi/3)
= sin²x + (sinx/2 + âˆš3cosx/2)² + cosx(cosx/2 - âˆš3sinx/2)
= sin²x + sin²x/4 + 3cos²x/4 + âˆš3sinxcosx/2 + cos²x/2 - âˆš3sinxcosx/2
= 5/4sin²x + 5/4cos²x
= 5/4
So, gof(x) = g(f(x)) = g(5/4) = 1

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functions...3!!!

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