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RIGHT TRIANGLE TRIG

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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RIGHT TRIANGLE TRIG

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  1. RIGHT TRIANGLE TRIG 4-3

  2. SOHCAHTOA • Sin = opp/hyp • Cos = adj/hyp • Tan = opp/adj • Sec = hyp/adj • Csc= hyp/opp • Cot = adj/opp

  3. Example • Given the triangle with legs 3 and 4, evaluate all 6 trig functions for

  4. Special trig values • Sin cos tan

  5. Pythagorean identities

  6. Remaining identities • Reciprocal Identities • Quotient Identites

  7. Example Use Trig identities to transform one side of the equation into the other: a) b)

  8. Applying trig identities • Let be an acute angle such that . Find the values of and .

  9. 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?

  10. 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.

  11. Homework • Pg 274#27-39 odd, 57-63 odd

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