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natka813 [3]
2 years ago
15

Write the expression as the sine or cosine of an angle pi/5 cos pi/2+sin pi/2\cos pi/5

Mathematics
1 answer:
vova2212 [387]2 years ago
7 0

The given expression as a sine function is sin(\frac{\pi}{5} +\frac{\pi}{2} )

<h3>The addition formula for trigonometry</h3>

The given expression is:

sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )

Note that:

sin(A+B)=sinAcosB+cosAsinB

Applying the addition principle to the given expression, we have:

sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )

Therefore, the given expression as a sine function is sin(\frac{\pi}{5} +\frac{\pi}{2} )

Learn more on addition formula of trigonometry here: brainly.com/question/22852405

#SPJ1

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