# How do i solve this trig question??

##### 3 Answers

You use the definition of sine of an angle, in this case W, to solve this problem in almost a single step.

#### Explanation:

The definition of sine of an angle is:

**Opposite** is the measure of the side directly opposite of the angle

**Hypotenuse** is the side across form the 90 degree angle

Remember that this will only work for right triangles. A more complex version of this identity is used for non-right triangles.

Now, for your problem specifically, we take

**IMPORTANT**: Your calculator must be set to "Degrees" mode for this next part!

Take

Then applying the appropriate rounding for the problem you get:

#### Explanation:

#"Since VWX is a right triangle use "color(blue)"trig. ratio"#

#â€¢color(white)(x)sin hatW="opposite"/"hypotenuse"=(VX)/(VW)=7/8#

#rArrangleW=sin^-1(7/8)=61.0^@#

#### Explanation:

Since this is a right triangle, we are able to use the

We know the lengths of the opposite side from

Using your calculator, find the value of

Still using your calculator, hit

Here are a couple things to remember when you see questions like this:

- Determine which side lengths you know so that you can decide which function to use (
#tan, sin, cos# ) - When you have the form like the one that we had in this question (
#sin angleW=0.875# ) remember to hit#2nd# and**then the function**. Or, depending on your calculator, you should use#sin^-1, cos^-1, tan^-1# instead.