We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
The formula for finding c...” No, you would divide it. The formula for finding circumference is 2 x pi x r, where r is the radius. 2 x r = d, where d is diameter.
x/240 = 82/100
240 : 100 = 2.4
so 240 is divided with 2,4 giving 100, this will work with 82 too. So, 82 × 2.4 = 196,8
Answer : x = 196,8
prove :
196,8/240 = 82/100 = 41/50
see the picture
(2x-5y) + (x+y)
= (2x+x) + (-5y+y)
= 3x + (-4y)
= 3x-4y
So option A is the correct one.
When I do what the problem statement says, I get 47° for the left angle and 58° for the right one. They are not congruent.