5.1-5.4
Convert to radians
-345 degrees
-23π/12
Use the even-odd properties of trigonometric functions to find the exact value of the given expression. cot(-60°)
-√3/3
Find the exact value of each expression.
sin π/3
1
Solve the equation on the interval 0≤θ<2π. 4sinθ+7=5
{7π/6, 11π/6}
True or False
In a right triangle, if two sides are known, we can solve the triangle.
True.
Convert to degrees
-11π/6
-330 degrees
The equation of the unit circle is ________
x2 + y2 = 1
Find the exact value of each expression.
tan^-1 (3)
2.96
Solve the equation on the interval 0≤θ<2π. cotθ-1=0
{π/4, 5π/4}
Triangles for which two sides and the angle opposite of one of them are known (SSA) are referred to as the...
Ambiguous case
sin72(degrees) =
Round to two decimal places
0.95
One period of the graph of y=sin(wx) or y=cos(wx) is called a(n) ________
cycle
Find the exact value of the following expression.
cos^-1 (√3/2)
5π/6
Solve the equation on the interval 0≤θ<2π. 2secθ+2=6
{π/3, 5π/3)
Solve the triangle.
A=40°, B=40°, c=2
C=100°, a≈1.31, b≈1.31
If f(θ) = sin(θ) and θ=60 degrees, what is 4f(θ)?
2√3
What is the y-intercept of y=sec x?
There is no y- intercept
Find the exact value of the expression.
sin[tan^-1(-√3/3)]
-1/2
Solve the equation on the interval 0≤θ<2π. 12cos2θ=9
{π/6, 5π/6, 7π/6, 11π/6}
If b=5 and B=40°, find a, c, and A
a≈13.74, c≈14.62, A=70°
Use definitions/identities to find exact value of remaining trigonometric functions of angle theta
cos(θ)=1/5
sin(θ)=2√6/5
tan(θ)=2√6
cot(θ)=√6/12
csc(θ)=5√6/12
sec(θ)=5
Write the equation of a sine function that has the following characteristics. Amplitude: 9 Period 6π Phase Shift: 1/4
y= 9sin (6x - 1/4)
Find the exact value of each expression.
sin^-1[cos(-7π/6)]
-π/3
Rewrite cosθ-sinθ/sinθ + sinθ+cosθ/cosθ over a common denominator. Type your answer in terms of sine and/or cosine.
1/sinθcosθ
Solve each triangle.
a=12, b=13, c=5
A≈67.4°, B≈90°, C≈22.6°