What is the general solution for 7sin(x)+7sin(x)tan(x)=0 ?

The general solution for 7sin(x)+7sin(x)tan(x)=0 is x=2pin,x=pi+2pin,x=(3pi)/4+pin

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7sin(x)+7sin(x)tan(x)=0

7 sin (x) + 7 sin (x) tan (x) = 0

x = 2 πn, x = π + 2 πn, x = \frac{3 π}{4} + πn

Solution steps

7 sin (x) + 7 sin (x) tan (x) = 0

Factor

7 sin (x) + 7 sin (x) tan (x) : 7 sin (x) (tan (x) + 1)

7 sin (x) (tan (x) + 1) = 0

Solving each part separately

sin (x) = 0 or tan (x) + 1 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

tan (x) + 1 = 0 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{3 π}{4} + πn

0 = cos (20 t) - cos (20.02 t)

2 tan (2 x - 10) = 3.4641

12 cos (\frac{π}{3} x) + 8 = 0

\frac{sin ( 4 5 ^{\circ} )}{497.01} = \frac{sin ( x )}{450}

\frac{35}{sin ( A )} = \frac{60}{sin ( 2 5 ^{\circ} )}

What is the general solution for 7sin(x)+7sin(x)tan(x)=0 ?
The general solution for 7sin(x)+7sin(x)tan(x)=0 is x=2pin,x=pi+2pin,x=(3pi)/4+pin