Question

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

Answer 1

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

The addition formula for trigonometry

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

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