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6.2.1 – The Basic Trig Functions

6.2.1 – The Basic Trig Functions. Now, we have a few ways to measure/view angles Degrees Radians Unit Circle Triangles. 3 Basic Functions. Say we have a right triangle similar to the example below, with the angle ϴ We can define the following as: Sin( ϴ ) = Opp / Hyp

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6.2.1 – The Basic Trig Functions

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  1. 6.2.1 – The Basic Trig Functions

  2. Now, we have a few ways to measure/view angles • Degrees • Radians • Unit Circle • Triangles

  3. 3 Basic Functions • Say we have a right triangle similar to the example below, with the angle ϴ • We can define the following as: • Sin(ϴ) = Opp/Hyp • Cos(ϴ) = Adj/Hyp • Tan(ϴ) = Sin/Cos OR Opp/Adj • ϴ = Radians

  4. Example. Find the following trig functions given the triangle below: • Sin(ϴ) = • Cos(ϴ) = • Tan(ϴ) =

  5. Example. Find the following trig functions given the triangle below. Let ϴ = 600 • Sin(ϴ) = • Cos(ϴ) = • Tan(ϴ) =

  6. The other 3 trig functions • We can define 3 more basic trig functions • Call them the “reciprocal” functions • csc(ϴ) = 1/sin(ϴ) = hyp/opp • sec(ϴ) = 1/cos(ϴ) = hyp/adj • cot(ϴ) = 1/tan(ϴ) = adj/opp

  7. Example. Find the following trig functions given the triangle below: • csc(ϴ) = • sec(ϴ) = • cot(ϴ) =

  8. Example. Evaluate the tangent and secant from the following triangle if ϴ = π/6. • What do we know about the angle measure of π/6?

  9. Using Your Calculator • We may evaluate any of the 6 basic trig functions for ANY angle • Just a small issue… • Radians? • Degrees? • Which one do we all prefer? Regardless, at some point we all have to convert

  10. Example. Evaluate the following using your calculator. • A) sin(88.60) • B) csc(5π/11) • C) tan(7π/3) • D) sec(1880)

  11. Assignment • Pg. 481 • 7, 12, 15-37 odd

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