Trig Notes PDF

Preview

Summary

Trig notes and graphs...

Description

Trigonometry Notes: sine -

Opposite hypotenuse

cosine - Adjacent hypotenuse tangent - Opposite adjacent right -

The SOH-CAH-TOH relationships can be used only in _________ triangles.

opposite - _______ sides and angles are labeled with the same letter, but angles are capital and sides are lowercase. additive inverse - any number when added to N, yields 0 multiplicative inverse a number when multiplied to N, yields 1. Also known as the reciprocal function inverse - the relation formed when the independent variable is exchanged with the dependent variable in a given function "do" and "undo" functions function inverse - flip the x and y coordinates in an ______ _______ arcsine - sine inverse arctangent - tangent inverse arccosine - cosine inverse angle of elevation - formed by looking up from the horizontal angle of depression

-

formed by looking down from the horizontal

angle of inclination - formed between the vertical and horizontal as defined by the situation complementary - the two non-right angles in a triangle are _________ sin(x) - cos(y) cos(y) - sin(x) Law of Sines - for a triangle with angles A, B, and C, and sides of length a, b, and c: - sin(A) = sin(B) = sin(C) - abc oblique - type of triangle with no right angle AAS; ASA; sometimes SSA - congruency proofs used for Law of Sines (3) Law of Cosines - for any triangle with sides of lengths a, b, and c, with angle C opposite side c: - c^2=a^2+b^2-2ab*cos(C) obtuse - ________ angles give you a negative number, which results in a positive value SSS; SAS - congruency proofs used for Law of Cosines (2) Area formula for Oblique Triangles - k=1/2ab*sin(C) standard form - The __________ ______________ of a trigonometric function is y=A(sin(Bx-C))+D positive - Since shift is distance, it is always __________.

amplitude - shows stretch for tangent graphs midline - horizontal line used as a reference line about which the graph of a periodic function oscillates; average of maximum and minimum values sinusoid - another name for sine wave domain - the spread of x-values...