Solving Right Triangles Using Trig Inverse Trig Functions Task Cards

Solving Right Triangles Using Trig Inverse Trig Functions Task Cards This lesson covers the inverse of the three trigonometric ratios and how to use them to solve right triangles. Set of 20 task cards: 12 use inverse trig functions to find angle measure 4 find the length of the missing side multistep (two triangles that share a side).

Solving Right Triangles Using Trig Inverse Trig Functions Task Cards Now that you know both the trig ratios and the inverse trig ratios you can solve a right triangle. to solve a right triangle, you need to find all sides and angles in it. you will usually use sine, cosine, or tangent; inverse sine, inverse cosine, or inverse tangent; or the pythagorean theorem. Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles. The following identifies for trig functions are extremely important as we continue our study of trig. we can use these formulas to find measures of angles we don’t know – without looking them up. So far we’ve evaluated trig and inverse trig functions at values that relate to our special angles. what if we have a value that does not relate to a special angle? 1. (a) consider cos− 1 (sin ( 35 )). what can we say about this? (b) now let’s consider cos (sin− 1 ( 35 )). draw a right triangle with acute angle θ such that sin θ = 35.

Solving Right Triangles Using Trig Inverse Trig Functions Task Cards The following identifies for trig functions are extremely important as we continue our study of trig. we can use these formulas to find measures of angles we don’t know – without looking them up. So far we’ve evaluated trig and inverse trig functions at values that relate to our special angles. what if we have a value that does not relate to a special angle? 1. (a) consider cos− 1 (sin ( 35 )). what can we say about this? (b) now let’s consider cos (sin− 1 ( 35 )). draw a right triangle with acute angle θ such that sin θ = 35. These cards have students using sine, cosine, tangent, and the inverse functions on their calculators to solve for missing sides and angels. simply print the slides on brightly colored paper and hang them around the room. This video goes through two examples, one of solving a triangle and one word problem. we find every angle and every side length using sin, cos, tan, arcsin, arccos and arctan. As an example of rearranging, let’s say we had a right triangle as shown below. to find θ, we’ll need to use the given information and the correct trig ratio. Using the inverse trigonometric functions, we can solve for the angles of a right triangle given two sides, and we can use a calculator to find the values to several decimal places.