Download Fall 2015 Exam Ch 7 Version B Analytic Trigonometry

Fall 2015 - Berkeley City College
Resources Allowed: 1.25 hours, calculator, 1 page of notes
Math 50 - Trigonometry - Exam #2B- Chapter 7
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Use the information given about the angle θ, 0 ≤ θ ≤ 2", to find the exact value of the indicated trigonometric function.
1) csc θ = 17 , " < θ < "
Find cos(2θ).
8
2
Instructor K. Pernell
1
Find the exact value of the expression.
2) tan 165° - tan 45°
1 + tan 165° tan 45°
2
3) sin cos-1 1 - sin-1
2
3
2
3
4) cos tan-1
3
3
4
5) cos 2 sin-1 - 5
13
5
Use the Half-angle Formulas to find the exact value of the trigonometric function.
6) sin 7!
8
6
Solve the equation on the interval 0 ≤ θ < 2".
7) 2 sin 2 θ - 3 sin θ - 2 = 0
7
8)
2 cos(2θ) = 1
8
Find the exact value under the given conditions.
9) sin α = 15 , " < α < "; cos β = 5 , 0 < β < "
17 2
13
2
Find sin (α - β ).
9
Simplify the trigonometric expression by following the indicated direction.
10) Rewrite over a common denominator . Then use identities to simplify:
10
1
1
+
1 - sin θ 1 + sin θ