100sin(-5пи/4)*cos(-11пи/4)

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вопрос

100sin(-5π/4)*cos(-11π/4)

First, let's find the values of sin(-5π/4) and cos(-11π/4):

sin(-5π/4) = sin(-π - π/4) = -sin(π/4) = -√2/2
cos(-11π/4) = cos(-3π - π/4) = cos(-π/4) = √2/2

Now, we can substitute these values into the expression:

100sin(-5π/4)cos(-11π/4) = 100(-√2/2)(√2/2)
= 100(-1/2)
= -50

So, 100sin(-5π/4)*cos(-11π/4) = -50.