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# 13.1 notes

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### 13.1 notes

1. 2. <ul><li>opposite hypotenuse </li></ul><ul><ul><li>leg </li></ul></ul><ul><ul><li> </li></ul></ul><ul><ul><li>adjacent leg </li></ul></ul>θ
2. 3. <ul><li>Sine sin θ = opposite </li></ul><ul><li> hypotenuse </li></ul><ul><li>Cosine cos θ = adjacent </li></ul><ul><li> hypotenuse </li></ul><ul><li>Tangent tan θ = opposite </li></ul><ul><ul><li> adjacent </li></ul></ul><ul><ul><li>SOH – CAH - TOA </li></ul></ul>
3. 4. <ul><ul><li>Cosecant csc θ = hypotenuse </li></ul></ul><ul><li> opposite </li></ul><ul><ul><li>Secant sec θ = hypotenuse </li></ul></ul><ul><ul><li> adjacent </li></ul></ul><ul><ul><li>Cotangent cot θ = adjacent </li></ul></ul><ul><ul><ul><ul><ul><li>opposite </li></ul></ul></ul></ul></ul>
4. 5. <ul><li>H </li></ul><ul><li>24 </li></ul><ul><li>32 </li></ul><ul><li>F G </li></ul><ul><li> 40 </li></ul><ul><li>sin G = csc G = </li></ul><ul><li>cos G = sec G = </li></ul><ul><li>tan G = cot G = </li></ul>
5. 6. <ul><li>csc θ = 1 </li></ul><ul><li>sin θ </li></ul><ul><li>sec θ = 1 </li></ul><ul><li>cos θ </li></ul><ul><li>cot θ = 1 </li></ul><ul><li>tan θ </li></ul>
6. 7. <ul><li>In a right triangle, angle A is acute and tan A = 5/3. </li></ul><ul><li>Find the value of the csc A. </li></ul><ul><li>Draw a triangle. </li></ul><ul><li>Label angle A. </li></ul><ul><li>Label the sides. </li></ul><ul><li>Find the missing side. </li></ul><ul><li>Answer the question. </li></ul>
7. 8. <ul><li>30 ◦ - 60 ◦ - 90 ◦ 45 ◦ - 45 ◦ - 90 ◦ </li></ul><ul><li>60◦ </li></ul><ul><li>2x x x√2 </li></ul><ul><li>x </li></ul><ul><li>X√3 30◦ </li></ul><ul><li>x </li></ul>
8. 9. <ul><li>Use a trigonometric function to find the value of x. </li></ul><ul><li>Round to the nearest tenth if necessary. </li></ul><ul><li>12 </li></ul><ul><li>X </li></ul><ul><li>60 ◦ </li></ul>
9. 10. <ul><li>Inverse Sine </li></ul><ul><ul><li>If sin A = x, then sin -1 x = measure of angle A. </li></ul></ul><ul><li>Inverse Cosine </li></ul><ul><ul><li>If cos A = x, then cos -1 x = measure of angle A. </li></ul></ul><ul><li>Inverse Tangent </li></ul><ul><ul><li>If tan A = x, then tan -1 x = measure of angle A. </li></ul></ul>
10. 11. <ul><li>B </li></ul><ul><li> 9 17 </li></ul><ul><li>C A </li></ul><ul><li>14.4 </li></ul>