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Math 30-1
Name:
Quiz 5: Trig and Exponents & Logs
Date:
Use the following information to answer the next question.
If the point P ( 0.2, k ) lies on a circle with a radius of 1, then the exact value of
k can be expressed as  b .
1.
The value of b, to the nearest hundredth, is ________. [2marks]
2.
Use the unit circle to find the exact coordinates of the following angles. [2 marks]
a)
3.
𝑃(
𝟏𝟏𝝅
𝟑
)
b) 𝑃(−𝟏35°)
5
12
c)
𝑃( 150 °)
d) 𝑃(
𝟑𝝅
𝟐
)
On a unit circle, if the point 𝑃 (− 13 , 13) lies on the terminal arm of an angle in standard position,
what are the exact values of the 6 trigonometric ratios? [6 marks]
4.
a) Describe the transformations from 𝑦 = 4(5)𝑥 to 𝑓(𝑥) = −8(5)2𝑥−6 + 3. [2 marks]
b) State the domain and range of the transformed function. [2 marks]
c) Algebraically determine the y-intercept to the nearest thousandth. [1 mark]
5.
Convert the following to logarithmic form: [2 marks]
1
a) 3−4 = 81
6.
b) 𝑎 = 𝑏𝑐 𝑑
Evaluate. [4 marks]
a) log 2 32
b) log 1
c) 4log4 3
d) log 5 52