For the sin10pi how exactly do I calculate that without a ca

For the sin(10pi), how exactly do I calculate that without a calculator? Do I just use unit circle to find sin of pi and multiply that to whatever constant, in this case 10?

So if it was cos(10pi) would it be -10. Ultimately making this equation 1/2(pi + 1)? Just need clarification. Thanks

Plug in the value x T in (10T) 10 Simplify

Solution

The value of sin and cos negate themselves after 180 degreesi.e. and remains same after 360 degreesi.e. 2 .

so if sin 0⁰=0(zero) , then

sin 180⁰= 0(zero)

similarly sin 360⁰ =0(zero)

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for cos 0⁰=1

so cos 180⁰=-1

cos 360⁰=1

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So after the value becomes negative and after 2 it becomes same.