MidYear Review 1#
page 1 of 2#
Trig/PreCalc#
Name________________________
01-13-16
Show thinking and
You may only use electricity on problem # 5.
__________1. Exact value of sin(15°) .
__________2. Find the EXACT value of tan-1(cos(!)) .
__________3. If the terminal side of an angle passes through (-3, 5), find sec(θ).
_________________________4. Write a positive sine equation for : f(x) = -3cos(2(x + 45°))
__________5. How many solutions are there for △ABC with c = 15’, b = 14’ and m∠B = 58°?
_________6. If sin(θ) = ¾ and θ is a quad II angle, find cos(θ) .
MidYear Review 1#
page 2 of 2#
Trig/PreCalc#
Name________________________
01-13-16
Show thinking and
You may only use electricity on problem # 5.
___________7. Which of the following could be an equation for the graph?
(List ALL THAT APPLY)
a) f(x) = 3sin(3(x – !)) – 1 #
d) f(x) = 3sin(
2π
x) – 1 # #
3
2π
π
(x – )) – 1
3
2
b) f(x) = -3cos(3(x + !/2)) – 1
#
c) f(x) = 3sin(
e) f(x) = -3sin(3x) – 1 #
#
f) none of these
#
__________________8. State the range for f(x) = -3csc(2(x + ½)).
________9. How many solutions does the equation 5sin2(x) – 6 = 4 have for -have for 0 ≤ x < 2! ?
________10. When θ = 50° , which of the following has the largest value?
#
#
#
(a) sin(θ)# #
(b) cos(θ)##
(c) sec(θ)##
(d) csc(θ)