Graphing Trig Functions & Inverses Review

Where does the graph of y=sin(x) begin its first cycle?

• (0,0)
• (1,0)
• (0,Pi)
• (1, Pi)

Tags

CCSS.HSF-IF.C.7E

Where does the graph of cosine begin?

• (0,0)
• (0,1)
• (0, Pi)
• (1, Pi)

Tags

CCSS.HSF-IF.C.7E

What are the five key radian points for graphing Sine or Cosine?

• $0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2},\ and\ 2\pi$

• $\left(0,\ 1,\ 2,\ 3,\ 4,\right)$

• $0,\ \frac{\pi}{6},\ \frac{\pi}{4},\ \frac{\pi}{3},\ \frac{\pi}{2}$

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSG.C.B.5

What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x 

Tags

CCSS.HSF-IF.C.7E

What is the equation of this graph?

• y=cos2x
• y=2sin2x
• y=2cos2x
• y=2sinx

Tags

CCSS.HSF-IF.C.7E

what is the period of y= -3sinx

• π
• 2π
• 3π
• 4π

Tags

CCSS.HSF.TF.A.4

What is the range of the function y=3sinθ - 2

• [-1,1]

• (-∞,∞)

• [-5,1]

• [5,-1]

Tags

CCSS.HSF.TF.A.4

What is the period of y = 4Cos(2x)?

• 4π
• π
• 2π
• π/2

Tags

CCSS.HSF.TF.A.4

What is the range of y = 4Cos(2x)?

• [-2, 2]

• [-4, 4]

• [-1, 1]

• [-0.5, 0.5]

TWO ways to derive the graph of $\tan\left(\theta\right)$ WITHOUT  a calculator  are...

• cos(x)/sin(x)

• extend a ray on the unit circle so that it intersects the cotangent line

• extend a ray on the unit circle so that it intersects the tangent line

• sin(x)/cos(x)