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Wednesday, November 12th

Wednesday, November 12th. A pilot in an airplane of altitude 12km sees two towers directly in front of the plane. The angles of depression to the towers are 25  and 60. How far apart are the two towers?. Looking ahead…. Lesson 5.1 on Wednesday, Thursday, Friday

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Wednesday, November 12th

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  1. Wednesday, November 12th A pilot in an airplane of altitude 12km sees two towers directly in front of the plane. The angles of depression to the towers are 25 and 60. How far apart are the two towers?

  2. Looking ahead… • Lesson 5.1 on Wednesday, Thursday, Friday • Test on Lesson 5.1 next Tuesday • End of Quarter 1 grades are due by 9 AM Friday morning!!!!!

  3. Chapter FiveAnalytic Trigonometry

  4. Lesson 5.1part one

  5. Reciprocal Identities

  6. Quotient Identities

  7. Pythagorean Identities

  8. Odd trigonometric functionsf(-x)=-f(x) NOT symmetric about y axis • Sin x tan x • Csc x cot x • Sin(-x)= -sin(x) tan(-x)= -tan(x) • Csc(-x)= -csc(x) cot (-x)= -cot(x)

  9. Even trigonometric functionsf(-x)=f(x)SYMMETRIC about y axis • Cos x Sec x • Cos(-x) = cos(x) sec(-x) = sec(x)

  10. Confunction Identities • sin (90°-x)=cos (x) cos (90°-x)=sin (x) • tan (90°-x)=cot (x) cot (90°-x)=tan (x) • sec (90°-x)=csc (x) csc (90°-x)=sec (x)

  11. Using given values to find remaining trig functions

  12. 1. Tan Θ = ¾ and Csc Θ = 5/3

  13. 2. Cot Θ = -5 and sin Θ = 26/26

  14. 3. Tan Θ is undefined and sin Θ > 0

  15. Homework:Page 381#1-13

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