Alex lopez t_r_i_g_that_spells_trig_
Transcript of Alex lopez t_r_i_g_that_spells_trig_
Alex Lopez Jan. 19, 2011
• The Unit Circle is your life saver to understanding trig functions of special angles!!
^^Above Are Examples of Special Angles!!
• Ever wondered how ocean waves look like from the side? Just look at the Sine, Cosine, and Tangent functions!!
• Sine Function:
• Domain: all real numbers• Range: [-1 , 1]• Period = 2pi• x intercepts: x = k pi , where k
is an integer.• y intercepts: y = 0
• Cosine Function:
• Domain: all real numbers• Range: [-1 , 1]• Period = 2pi• x intercepts: x = pi/2 + k pi , where k is an
integer.• y intercepts: y = 1
• Domain: all real numbers except pi/2 + k pi, k is an integer.
• Range: all real numbers• Period = pi• x intercepts: x = k pi , where k is an integer.• y intercepts: y = 0
• Tangent Function:
• Ahhhh….going back to the usage of Alg. 2 ! Seems hard at first but becomes really easy once you get the hang of it!!
• Few formulas needed to simplify functions!!:
Reciprocal Identities Pythagorean Identities
Unit 4: Solving Trig Functions Unit 4: Solving Trig Functions
This is where your knowledge of previous units will help you solve these equations!!!
*must go to presentation mode to watch video*
Unit 5: Trig Applications!Unit 5: Trig Applications!
This is really fun especially when you can apply these to real life using angle of depression and elevation and right triangles!
When solving for a triangle, there are four cases:-SAA or ASA: one side and two angles are known-SSA: two sides and an angle (not the included one) are known-SAS: two sides and the included angle are known-SSS: three sides are known