what is the coterminal of 150 how do u figure this out??
how do u so
true/false:
sin120cos120=sin240?
is the expression sinx=cos90-x still true for this case?
To find the coterminal angle for 150 degrees, you can add or subtract multiples of 360 degrees until you get an angle between 0 and 360 degrees. In this case, you can subtract 360 degrees from 150 to get -210 degrees, which is coterminal with 150 degrees.
Now let's move on to the next part of your question.
To determine if sin120cos120 is equal to sin240, we can start by evaluating each expression separately.
First, let's calculate sin(120) and cos(120):
sin(120) ≈ 0.866
cos(120) ≈ -0.5
Next, we can multiply sin(120) by cos(120):
sin(120) * cos(120) ≈ 0.866 * (-0.5) ≈ -0.433
Now let's calculate sin(240):
sin(240) ≈ 0.866
Since -0.433 is not equal to 0.866, the statement sin(120) * cos(120) = sin(240) is false.
Moving on to the next part, the expression sin(x) = cos(90 - x) is a trigonometric identity known as the complementary angle identity. It holds true for any angle x.
In this case, the complementary angle of x is (90 - x).
So, sin(x) and cos(90 - x) will always be equal for any value of x.
Therefore, for this case, the expression sin(x) = cos(90 - x) is still true.