Cc Geometry H Hw 26 Worksheet With Answers Page 4

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Example 1:
Consider right triangle ABC with right ≮ C, and the degree measures of
≮ A and ≮ B are α and β, respectively.
a) Find α + β. _____
BC
b) Use trig. ratios to express
two different ways.
AB
AC
c) Use trig. ratios to express
two different ways.
AB
d) What can you conclude about sin α and cos β ?
e) What can you conclude about cos α and sin β ?
2. Find value of θ that make each statement true.
a) sin θ = cos (25)
b) sin 80 = cos θ
c) sin θ = cos (θ + 10)
d) cos(θ - 45) = sin θ
e) cos θ = sin (θ - 30)
3. For what angle measurement must sine and cosine have the same value.
Explain how you know.

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