Solving Trig Questions

1.

20160401_094928

Sin(x) = \frac{15}{30}\\x = Sin^{-1}(\frac{15}{30})\\x = 30^{\circ}

To isolate x, the Sin has to move over to the other side of the equation, and it becomes sin^{-1}

 

2.

20160401_094538

Cos(30^{\circ}) = \frac{20}{x}\\x = \frac{20}{Cos(30^{\circ})}\\x = 23m

To isolate x, the Cos(30^{\circ}) has to switch with x

 

3.

20160401_094534

Tan(25^{\circ}) = \frac{x}{50}\\x = 50\cdot Tan(25^{\circ})\\x = 23cm

To isolate x, 50 has to move over to the other side of the equation, and it changes from division to multiplication.