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Section 13.3a

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.

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Section 13.3a

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  1. Section 13.3a General Angles

  2. 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 =

  3. Def: Reference Angles: The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis.

  4. Def: Reference Triangles: Reference triangles are formed using reference angles and the perpendicular segment to the x-axis.

  5. II I x = - y = + x = + y = + III x = - y = - x = + y = - IV Quadrants All Students Take Calculus + + - - + - - + + - + -

  6. A S T C- All Students Take Calculus!

  7. 2.) Find The 6 trig functions for angle that passes through The point P(-3,4) Ɵ Csc Ɵ = Sin Ɵ = Cos Ɵ= Sec Ɵ = Tan Ɵ = Cot Ɵ =

  8. 3.) Find The 6 trig functions for angle 300° x Ɵ y Csc Ɵ = Sin Ɵ = r Cos Ɵ= Sec Ɵ = Tan Ɵ = Cot Ɵ =

  9. Def: Quadrantal Angles:Angles whose terminal side coincides with either the x-axis or the y-axis are called quadrantal angles. 0º 90º

  10. 270º 360º

  11. 4. Find the trig functions for the quadrantal angle 180º

  12. 5.) Find cos π 6.) Find tan π 7.) Find sin 90°

  13. Homework Page 790 Problems: 17-26, and 31

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