Sum and Difference Identities

Sum and Difference Identities The identity above is a short hand method for writing two identities as one. When these identities are broken up, they look like The identity above is a short hand method for writing two identities as one. When these identities are broken up, they look like

Find the exact value of the following trigonometric functions below given and continued on next slide

Find the exact value of the following trigonometric functions below given and Triangle for α b 3 α 7 continued on next slide

Find the exact value of the following trigonometric functions below given and Triangle for β 4 a β 5 continued on next slide

Find the exact value of the following trigonometric functions below given and 3 α 7 Now that we have our triangles, we can use the cosine identity for the sum of two angles to complete the problem. 4 3 β 5 continued on next slide

Find the exact value of the following trigonometric functions below given and 3 α 7 Note: Since α is in quadrant Iv, the sine value will be negative Now that we have our triangles, we can use the cosine identity for the sum of two angles to complete the problem. 4 3 β 5 Note: Since β is in quadrant II, the cosine value will be negative continued on next slide

Find the exact value of the following trigonometric functions below given and 3 α 7 4 3 β 5 continued on next slide

Find the exact value of the following trigonometric functions below given and continued on next slide

Find the exact value of the following trigonometric functions below given and 3 α 7 Note: Since α is in quadrant Iv, the sine value will be negative Now that we have our triangles, we can use the cosine identity for the sum of two angles to complete the problem. 4 3 β 5 Note: Since β is in quadrant II, the cosine value will be negative continued on next slide

Find the exact value of the following trigonometric functions below given and 3 α 7 4 3 β 5