Download
1 / 10
100 likes | 172 Views
Master trigonometry fundamentals easily using the chart. Learn how to solve triangles accurately by understanding sine, cosine, and inverse trigonometric functions. Practice with real-world examples.
E N D
These terms are interchangeable Example 1 The question this problem is asking is “What is the angle measure of the right triangle that has the side opposite angle x as and the hypotenuse is 2.” The question this problem is asking is “What is the angle measure of the right triangle that has the side adjacent angle x as and the hypotenuse is 2.” To get x alone, multiply by the inverse of sine: To get x alone, multiply by the inverse of cos: arcsin arcsin arccos arccos (calculator or chart) (calculator or chart) This is only the possibility for the 2nd quadrant. According to the table, 225° is also a possibility, along with any coterminal angles. This is only the possibility for the 1st quadrant. According to the table, 120° is also a possibility, along with any coterminal angles.
It helps to set the expression equal to x Example 2 What happens when something is multiplied by its inverse? They cancel each other out.
Each trig function must always be followed by an angle, Multiply both sides by sin So . . . r = 3, y = 2 Draw a picture w/ this info: Cosine uses the adjacent side, so calculate it:
d = 32 (hyp) f = 17 (adj) Example 3 Which trig function?
100 ft 20 ft Be careful not to calculate this angle! Example 4 Angle of Depression has to be formed by a horizontal line.
33° 5.8 Example 5 To solve a triangle means to find all the missing pieces; 3 angles & 3 sides
(hyp) 45 23 (opp)
