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Aim: What are the reciprocal functions and cofunction?

Aim: What are the reciprocal functions and cofunction?. AB = 17 and BC = 15. Do Now: In. A. Find. B. C. c). d). a) AC b). 2) Find the reciprocal of. a). b). c). Worksheet. 1) a) AC = 8, b). = 15/17 c). = 8/17. d). = 15/8. 2) a) rec. of.

nathaniel-angelo
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Aim: What are the reciprocal functions and cofunction?

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  1. Aim: What are the reciprocal functions and cofunction? AB = 17 and BC = 15. Do Now: In A • Find B C c) d) a) AC b) 2) Find the reciprocal of a) b) c) Worksheet

  2. 1) a) AC = 8, b) = 15/17 c) = 8/17 d) = 15/8 2) a) rec. of = 17/15 b) rec. of = 17/8 c) rec. of = 8/15 When we write the reciprocal of sine, cosine and tangent, we get 3 other functions – the reciprocal functions. We have names for those three reciprocal functions

  3. Definition of the reciprocal functions

  4. or or or

  5. Properties of all 6 trig functions Quadrant I II III IV sin + + – – csc + + – – cos + – – + sec+ – – + tan + – + – cot + – + –

  6. Given ΔABC, mB = 30, find the values of a) sin B b) cos A A 2 1 30 B Then sin30 = cos60 C That is sin30 = cos (90 – 30) In general, sin A = cos (90 – A) or cos A = sin (90 – A) The sine of an acute angle is equal to the cosine of its complement. The sine and cosine are cofunctions

  7. tan A = cot (90 – A) cot A = tan (90 – A) sec A = csc (90 – A) csc A = sec (90 – A) tangent and cotangent are cofunctions secant and cosecant are cofunctions In all three pairs of cofunctions, the angles are complementary angles.

  8. Relationship of all trig functions reciprocal cofunctions cofunctions &reciprocal reciprocal cofunctions

  9. Find a value of for which the statement is true. 1. 2. 3. 4.

  10. Write the following functions in terms of , or both: a) b) c) d)

  11. Find the values of the following a) b) c) d) e)

  12. Determine the quadrant of the angle lie a) b) and c) d) and

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