What is the value of sin((3pi)/2)-sin(pi/2) ?

The value of sin((3pi)/2)-sin(pi/2) is -2

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sin((3pi)/2)-sin(pi/2)

sin (\frac{3 π}{2}) - sin (\frac{π}{2})

- 2

Solution steps

sin (\frac{3 π}{2}) - sin (\frac{π}{2})

Rewrite using trig identities:

2 sin (\frac{π}{2}) cos (π)

= 2 sin (\frac{π}{2}) cos (π)

Use the following trivial identity:

sin (\frac{π}{2}) = 1

Use the following trivial identity:

cos (π) = (- 1)

= 2 \cdot 1 \cdot (- 1)

Simplify

= - 2

8 (cos (15 0^{\circ}) + i sin (15 0^{\circ}))

e^{1} sin (\frac{π}{2})

sin (- \frac{7}{4} π)

4 \cdot cos (4 0^{\circ})

sinh (- π)

What is the value of sin((3pi)/2)-sin(pi/2) ?
The value of sin((3pi)/2)-sin(pi/2) is -2