What is sin(7y)cos(3y)-cos(7y)sin(3y) ?

The solution to sin(7y)cos(3y)-cos(7y)sin(3y) is sin(7y-3y)

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simplify sin(7y)cos(3y)-cos(7y)sin(3y)

simplify

sin (7 y) cos (3 y) - cos (7 y) sin (3 y)

sin (7 y - 3 y)

Solution steps

sin (7 y) cos (3 y) - cos (7 y) sin (3 y)

Use the Angle Difference identity:

sin (s) cos (t) - cos (s) sin (t) = sin (s - t)

= sin (7 y - 3 y)

\frac{2}{3} \cdot \frac{4}{7}

\frac{5}{4} π

\frac{7}{30} - \frac{2}{45}

\frac{\frac{c ^{2} + 4 c}{c ^{2} - 4}}{\frac{3 c + 12}{c - 2}}

cos (θ) (1 + tan^{2} (θ))

What is sin(7y)cos(3y)-cos(7y)sin(3y) ?
The solution to sin(7y)cos(3y)-cos(7y)sin(3y) is sin(7y-3y)