The above image is from our last exit ticket. Examine the relationships you found between trigonometric ratios in right triangles by explaining whether or not the following are true. Answer in complete sentences using your best academic language. The first one is done as an example, which you may use as a sentence frame (replace the bold words with your own).[br]1. [math]cosA=sinA[/math][br][i]Answer: I can see from the table that this identity is [b]only true when the triangle is an isosceles right triangle[/b]. This makes sense to me because [b]in an isosceles right triangle, the opposite and adjacent sides have the same measure.[/b][/i][br]2. [math]tanA=\frac{sinA}{cosA}[/math][br]3. [math]sinA=cos\left(90-A\right)[/math][br]4. [math]cosA=sinB[/math][br]5.[math]cosB=sin\left(90-A\right)[/math] [br]6. [math]tanA=\frac{1}{tanB}[/math]

Notation: [math]\left(sinA\right)^2=sin^2A[/math][br]Test the following identities, and explain whether or not they are true, then explain why. You may want to use your calculator to test different values of A.[br]7. [math]sin^2A+cos^2A=1[/math][br]8. [math]1-sin^2A=cos^2A[/math][br]9. [math]sin^2A=sinA^2[/math]

10. If [math]sin\left(30°\right)=\frac{1}{2}[/math], find the [b]exact value[/b] of the following. You may want to sketch a right triangle on paper.[br]a. cos30[br]b. tan30[br]c. sin60[br]d. cos60[br]e. tan60