Radians&Degree
Transformation
Compound & Double Angle Formulas
Exploring Equivalent Trigonometric Functions
Graphs of the RT Functions
100
150
What is the degree of 5π/6
100
a=3 K=1 d=π/6 c=-1
What is a,k,d,c y=3sin(2(x+π/6））-1
100
a)(√2+√6)/4 b)2+√3
Determine the exact value of each trigonometric ratio a)sin 75° b) tan5π/12
100
sinθ
What does sin(π-θ)equal to?
100
（The graph was in the other paper)
State the graph of sinx , cosx and tanx
200
11π/4
What is 495°
200
a=10 k=2π d=-0.75 c=15
y=10sin(2π(t+0.75))+15 What is the a , k , d , c， period
200
a)-1/2
Use the appropriate compound angle formula to determine the exact value of each expression a)sin (π+π/6)
200
sin(π/6) =cos(π/2-π/6) = cos(1/3)
Use the cofunction identities to write an expression that is equivalent to sin(π/6)
200
｜a｜is the amplitude a= (max-min)/2 y=c is the horizontal axis c= (max+min)/2
How to find the amplitude and the horizontal axis when the maximum and minimum numbers were given.
300
28cm
What is determine the arc length of a circle with a radius of 8 cm if the certain angle is 3.5
300
f(x)=1/2cosx+3
The trigonometric function f(X)=cosx has undergone following sets of transformations. For each set of transformations, determine the equation of the resulting function a) vertical compression by a factor of 3, horizontal translation 3 units up
300
tanx
Use the appropriate compound angle formula to create an equivalent expression tan( x+π）
300
sin(π-θ)=sinθ cos(π-θ)=-cosθ tan(π-θ)=-tanθ
Write the equivalent trigonometric expressions for the principal angles drawn in standard position in quadrants II.
300
Domain: ｛x∈R｜x≠0,±π,±2π……｝ Range:｛ y∈R｝ Asymptotes: y=0,y=±π+kπ （k∈Z） Period: π
State the graph of Cotangent (y=cotθ) and write the domain, range, asymptotes and period.
400
25π/9cm
What is Determine the arc length of the circle in part a) if the central angle is 200°.
400
f(x)=25sin(2x)-4
The following trigonometric functions have the parent function f(x)=sinx they have undergone no horizontal translations and no reflection in either axis Determine the equation of each function a) The graph of this trigonometric function has a period of 10 and an amplitude of 2/5. The equation of the axis is y=1/5
400
a=1/2
Determine the value of a in the following equation:2tanx-tan2x+2a=1-tan2xtan²x
400
tan(5π/3） = tan(2π-π/3) = -tan（π/3）
Write an expression that is equivalent to tan(5π/3）
400
vertical compression by a factor of 1/3 a=1/3 reflecting it in the y-axis, horizontal compression by a factor of 1/3 k=-3 horizontal translation left by π/8 units d=π/8 vertical translation up by 24 units c=24 Equation: y=1/3sin(-3(x+π/8))+24
The graph of the function y=sin x is transformed by vertical compression by a factor of 1/3, reflecting it in the y-axis, horizontal compression by a factor of 1/3, horizontal translation left by π/8 units, vertical translation up by 24 units. Sketch the graph and write the equation.
500
about 144.5 radians/s
What is The members of a high-school basketball team are driving from Calgary to Vancouver, which is a distance of 675 km. Each tire on their van has a radius of 32 cm. If the team members drive at a constant speed and cover the distance from Calgary to Vancouver in 6 h 45 min, what is the angular velocity, in radians>second, of each tire during the drive?
500
b)there is vertical stretch by a factor of 20,followed by a horizontal compression by a of factor of 2/5π, and then a horizontal translation 0.2 to the left c)y=20sin (5π/2(x+0.2））
A pendulum swings back and forth 10 times in 8s. It swings through a total horizontal distance of 40cm a)sketch a graph of this motion for two cycles, beginning with the pendulum at the end of its swing.b b) Describe the transformations necessary to transform y=sinx into the function you graphed in part a) c) write the equation that models this siituation
500
sin4x =(2)(2sinx cosx )(cos2x) =(2)(2sincosx)(1-2sin²x) =(4sincosx)(1-2sin²x) =4sinxcosx-8sin³xcosx
Use a double angle formula to develop a formula for sin4x in terms of x
500
False Let θ=π/2 LS: sin(π/2+2π) = sin(5π/2) =1 RS: sin(-π/2)= -1 LS≠RS
State sin(θ+2π)=sin(-θ) is true or false and explain.
500
x=2 (The graph was in other paper)
Sketch a graph of the equation and use the graph to estimate the x value(s) in the domain 0≤x≤2, where y=5, y=3 cos(1/2 (x-2) )+2
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