Find value of "x"sin(7x-20°) = cos(3x+40°)

x = 36°n + 7° OR x = 90°n + 37.5° for any integer n

Step-by-step explanation:

Since cos(x) = sin(90°-x),  we have

sin(7x-20°) = sin(90°-(3x+40°)) = sin( 50° - 3x )

sin( x ) = sin( y ) implies either:

x = 360° n + y

or

x = 360°n + 180° - y

Generally sin(x) = sin(y) ⇒ x = 180°n + (-1)ⁿ y

First case:

7x - 20° = 360°n + 50° - 3x

10x = 360°n + 70°

x = 36°n + 7°

Second case:

7x - 20° = 360°n + 180° - ( 50°-3x )

7x - 20° = 360°n + 180° - 50° + 3x

7x - 20° = 360°n + 130° + 3x

4x - 20° = 360°n + 130°

4x = 360°n + 150°

x = 90°n + 37.5°

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

care to share were the trapezoid shown is ?