In these lessons, we will learn how to find the angles and sides using the sine ratio and how to solve word problems using the sine ratio.
Related Topics: More Trigonometry Lessons
Hints on solving trigonometry problems:
- If no diagram is given, draw one yourself.
- Mark the right angles in the diagram.
- Show the sizes of the other angles and the lengths of any lines that are known
- Mark the angles or sides you have to calculate.
- Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
- Decide whether you will need Pythagoras theorem, sine, cosine or tangent.
- Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.
Calculate the length of the side x, given that sin θ = 0.6
Using Pythagoras’ theorem:
Find Missing Sides
Find the missing length of a triangle using the sine function
These two videos show you how to find the missing length of a triangle using the sine function.
We are given a right triangle and two side lengths and a missing length.
We show a right triangle and label the hypotenuse, and two legs the opposite side and adjacent side according to their relation to θ.
Trigonometry Basics : SOHCAHTOA
How to find missing sides using sine, cosine and tangent?
Find Missing Angles
Trigonometry : using SOHCAHTOA to find missing angles.
Trig Ratios - SOH - CAH - TOA
Find missing Angle - Using Inverse Sine, Cosine
Sine Function Word Problems
A word problem involving the trigonometric ratio of sine to calculate the height of a pole
A 55ft wire connects a point on the ground to the top of a pole. The cable makes an angle of 60 degrees to the ground. Find the height of the pole to the nearest foot.
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