section 13.3a
DESCRIPTION
Section 13.3a. General Angles. 1.) Find The 6 trig functions for angle Ɵ. r. y. Ɵ. x. csc Ɵ =. sin Ɵ =. cos Ɵ =. sec Ɵ =. tan Ɵ =. cot Ɵ =. Def: Reference Angles: The reference angle is the acute angle formed by the terminal side of the given angle and the x -axis. - PowerPoint PPT PresentationTRANSCRIPT
Section 13.3a
General Angles
1.) Find The 6 trig functions for angle Ɵ
x
y
y
x
r
Ɵ
sin Ɵ =
cos Ɵ=
tan Ɵ =
csc Ɵ =
sec Ɵ =
cot Ɵ =
Def: Reference Angles: The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis.
Def: Reference Triangles: Reference triangles are formed using reference angles and the perpendicular segment to the x-axis.
x
y
III
III IV
Quadrants
Function Quadrant
I II III IV
sin or csc
cos or sec
tan or cot
+
+
+
+
+
+
- -
- -
- -
x = +y = +
x = -y = +
x = -y = -
x = +y = -
sin yr
cos xr
tan yx
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x
y
Ɵ
2.) Find The 6 trig functions for angle that passes throughThe point P(-3,4)
Sin Ɵ =
Cos Ɵ=
Tan Ɵ =
Csc Ɵ =
Sec Ɵ =
Cot Ɵ =
3.) Find The 6 trig functions for angle 300°
x
y
y
x
r
Ɵ
Sin Ɵ =
Cos Ɵ=
Tan Ɵ =
Csc Ɵ =
Sec Ɵ =
Cot Ɵ =
Def: Quadrantal Angles:Angles whose terminal side coincides with either the x-axis or the y-axis are called quadrantal angles.
0º
90º
360º
270º
4. Find the trig functions for the quadrantal angle 180º
5.) Find cos π
6.) Find tan π
7.) Find sin 90°
Homework
Page 790
Problems: 17-26, and 31