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weeeeeb [17]
3 years ago
14

Given f(x)= sin x and g(x)=cos x find f(g(pi/2)). show all your steps

Mathematics
1 answer:
Anika [276]3 years ago
6 0
First we make the composition of functions:
 f (x) = sin x
 g (x) = cos x
 f (g (x)) = sin (cos x)
 We now evaluate the composite function in pi / 2:
 f (g (pi / 2)) = sin (cos (pi / 2))
 f (g (pi / 2)) = sin (0)
 f (g (pi / 2)) = 0
 Answer:
 f (g (pi / 2)) = 0
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Step-by-step explanation:

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Keywords: linear inequalities, addition

Learn more about linear inequalities at:

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Prove that is here<br><img src="https://tex.z-dn.net/?f=1%20-%20cos%20%7B2%7Da%20%5Cdiv%201%20-%20sin%20a%7B2%7D%20%20%3D%20tan%
garri49 [273]

\\ \sf\longmapsto \dfrac{1-cos2A}{1-sin2A}

<h3>LHS</h3>

\boxed{\sf \dfrac{cosA}{sinA}=cotA}

\\ \sf\longmapsto \dfrac{1-cos2A}{1-sin2A}

\\ \sf\longmapsto 1-cot2A

\\ \sf\longmapsto 1-\dfrac{1}{tan2A}

\\ \sf\longmapsto \dfrac{tan2A-1}{tan2A}

\\ \sf\longmapsto tan2A

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