Solve the expression sin pi/6 - cos pi/3 .
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First, we'll notice that we'll have to calculate the difference of 2 complementary functions of 2 complementary angles.
We know that sin pi/6 = cos (pi/2 - pi/6) = cos (2pi/6) = cos pi/3
We'll substitute in the given expression sin pi/6 by cos pi/3 and we'll get:
cos pi/3 - cos pi/3 = 0
Note: Also, we could substitute the functions by their values, knowing that
sin pi/6=1/2 and cos pi/3=1/2
sin pi/6 - cos pi/3 = 1/2 - 1/2 = 0
To solve sin pi/3 - cospi/6
sin pi/3 = 1/2.
we know that cospi/6 = sin(pi/2-pi/6) = sinpi/3
Therefore sinpi/3 - cos pi/6 = sipi/3-sipi/3 = 0
sin (pi/6)= sin(180/6)
= sin (30)=1/2
cos (pi/3)= cos(180/3)= cos(60)=1/2
Then sin(pi/6)-cos(pi/3)=1/2 - 1/2 =0
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