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- 1. Multiple Choice
Simplify sin t + cot t cos t
sin t
csc t
sec t
cot t
- 2. Multiple Choice
Which step would NOT be used in verifying the identity
(tan2 x + 1)(cos2 x - 1) = -tan2 x
Use Pythagorean Identities
Use Reciprocal Identities
Use the Verified Identity
Use the Property of Exponents
- 3. Multiple Choice
What is the first step in verifying the equation
(sec2 θ - 1) / (sec2 θ) = sin2 θ ?
Pythagorean identity:
(sec2 θ - 1) / sec2 θ = (tan2 θ + 1) / sec2 θ
Rewrite as the difference of fractions:
(sec2 θ - 1) / sec2 θ = (sec2 θ/sec2 θ) - 1/sec2 θ
Could be Either
Neither
- 4. Multiple Choice
Which is a possible solution to
2 sin x - 1 = 0?
x = π/6 + 2nπ
x = 3π/6 +2nπ
Both
Neither
- 5. Multiple Choice
What is the exact value of cos75°?
(√6 - √2 ) ⁄ 4
(√6 + √2 ) ⁄ 4
(√6 - √2 ) ⁄ 3
(√6 + √2 ) ⁄ 3
- 6. Multiple Choice
Simplify the expression cos(θ - 3π/2).
-cosθ
cscθ
-cscθ
-sinθ
- 7. Multiple Choice
Rewrite this equation so it is not in fractional form:
1 / (1 + sin x).
csc2 x - tan x csc x
sec2 x - tan x sec x
sec2 x - tan x
csc2 x - cot x
- 8. Multiple Choice
Solve the triangle of figure 6.3 by finding the remaining sides and angle.
a = 49°
A = 49°
c = 43.06 feet
c = 55.75 feet
a = 43.06 feet
- 9. Multiple Choice
Find the measure of angle C in the triangle shown in Figure 6.12.
No Answer
C = 41.12°
C = 22.08°
C = 34.68°
- 10. Multiple Choice
Find the remaining angles and the side of the triangle shown in Figure 6.13.
a = 5.4072 , B = 110.3° , C = 44.7°
a = 7.6215 , B = 44.7° , C = 110.3°
a = 7.6215 , B = 110.3° , C = 44.7°
a = 5.4072 , B = 44.7° , C = 110.3°
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