What is the general solution for 2-6.5sin(x)=0 ?

The general solution for 2-6.5sin(x)=0 is x=0.31276…+2pin,x=pi-0.31276…+2pin

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2-6.5sin(x)=0

2 - 6.5 sin (x) = 0

x = 0.31276 \dots + 2 πn, x = π - 0.31276 \dots + 2 πn

Solution steps

2 - 6.5 sin (x) = 0

Multiply both sides by

10

20 - 65 sin (x) = 0

Move

20

to the right side

- 65 sin (x) = - 20

Divide both sides by

- 65

sin (x) = \frac{4}{13}

Apply trig inverse properties

x = arcsin (\frac{4}{13}) + 2 πn, x = π - arcsin (\frac{4}{13}) + 2 πn

Show solutions in decimal form

x = 0.31276 \dots + 2 πn, x = π - 0.31276 \dots + 2 πn

2 sin^{2} (x) = 4 sin (x) + 6, 0 \leq x \leq 2 π

1.33 \cdot sin (6 0^{\circ}) = 1.52 \cdot sin (x)

tan (x) = - 3 cos (x) tan (x)

tan (x - \frac{π}{4}) = \frac{1}{6}

csc (2 χ) = \frac{1}{1 - cos ( 2 χ )}

What is the general solution for 2-6.5sin(x)=0 ?
The general solution for 2-6.5sin(x)=0 is x=0.31276…+2pin,x=pi-0.31276…+2pin