Trigonometry (Part 2)
Module 5 Post Assessment Review Images: By Geek3 (Own work) [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC BY 3.0 (http://creativecommons.org/licenses/by/3.0)], via Wikimedia Commons
Images: By Geek3 (Own work) [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC BY 3.0 (http://creativecommons.org/licenses/by/3.0)], via Wikimedia Commons
Transformations
y = a sin(bx + c) + d Amplitude - height from center to peak (always positive) Amplitude = a
Period
Amplitude
Period - One peak to the next Period = 2Ď€/b Phase Shift - how far function is horizontally to the right of its usual position Phase shift = -c/b
Tangent Graphs: Amplitude - Does not exist Period - π/b
Vertical Shift - how far function is vertically above its usual position Vertical shift = d Images created by NCVPS TnT Kimberly Long
Inverse Trigonometric Functions Remember: When you solve a trig equation in your calculator you are finding the principal values!
Images created by NCVPS TnT Kimberly Long
Solving Trigonometric Equations Approach with the same methods as linear equations! -Isolate the variable!!
Use your unit circle and reference angles!! May need to use your factoring skills too!!
General Solution: Finding EVERY possible angle with the given value Use your unit circle and list each angle with its coterminal values +/- πk
or
+/- 2Ď€k