class work 1.sketch a right triangle that has acute angle , and find the five other trig ratios of ....
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Class Work1. Sketch a right triangle that has acute angle , and find the
five other trig ratios of .
2. Evaluate the expression without using a calculator.
7cos
25in quad IV
2 2
sin cos4 4
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Class Work
3. Solve the triangle.
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Section 6.5Law of Cosines
Objectives:•Use the Law of Cosines to solve triangles.•Use Heron’s Formula to find the area of a triangle.
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Law of Cosines:
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If you need to solve for an angle you will want to use these formulas instead.
2 2 2
2 2 2
2 2 2
cos2
cos2
cos2
b c aA
bc
a c bB
ac
a b cC
ab
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Ex 1. Solve the triangle.
BA
C58
12
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Ex 2. Solve the triangle.
A B
C
39
63
76
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Class Work4. Use the Law of Cosines to solve for .
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Ex 3. Solve ABC given A=25, b = 10, c = 20
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EX 4. Solve for x.
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Class Work5. Solve for x.
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6. Solve ABC given b = 60, c = 30, A=70.
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7. Determine whether you need to use the Law of Sines or the Law of Cosines to solve. Then find either x or .
a) b) c)
d)
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Heron’s Formula:
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Ex 5. Find the area of the triangle with sides a =15, b = 23, c = 16.
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Class Work8. Find the area of the triangle with sides a = 50, b = 17, c = 41.
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HW #4
P513 2,3,5,8,9,12,19-22all,27,28