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RIGHT TRIANGLE TRIG - PowerPoint PPT Presentation


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RIGHT TRIANGLE TRIG. 4-3. SOHCAHTOA. Sin = opp / hyp Cos = adj / hyp Tan = opp / adj Sec = hyp / adj Csc = hyp / opp Cot = adj / opp. Example. Given the triangle with legs 3 and 4, evaluate all 6 trig functions for . Special trig values. Sin cos tan. Pythagorean identities.

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Presentation Transcript
sohcahtoa
SOHCAHTOA
  • Sin = opp/hyp
  • Cos = adj/hyp
  • Tan = opp/adj
  • Sec = hyp/adj
  • Csc= hyp/opp
  • Cot = adj/opp
example
Example
  • Given the triangle with legs 3 and 4, evaluate all 6 trig functions for
remaining identities
Remaining identities
  • Reciprocal Identities
  • Quotient Identites
example1
Example

Use Trig identities to transform one side of the equation into the other:

a) b)

applying trig identities
Applying trig identities
  • Let be an acute angle such that . Find the values of and .
example2
Example
  • A surveyer is standing 50 ft from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5. How tall is the tree?
example3
Example
  • You are 200 yds from a river. Rather than walking directly to the river, you walk 400 yds along a straight path to the rivers edge. Find the acute angle between this path and the river’s edge.
homework
Homework
  • Pg 274#27-39 odd, 57-63 odd