Applying and Analysing Trigonometric Functions

• -1
• sin θ
• csc θ
• 1

• sinθ
• cot²θ
• tan²θ
• cos²θ

• tanx

• cotx

• sin²x

• cos²x

F(x) = Asin[B(x-C)] + D is the standard form. A is the Amplitude B helps you find the period, B=2pi/period C is the phase shift D is the vertical shift Then f(x) = 2Sin(3x + 1) + 4

• 2

• phase shift

• 3

• vertical shift

• 4

• helps calculate period

• 1

• amplitude

For y=7sin(6(x-8))+9, What is the value of A, B , C, and D?

• 9

• B, helps calculate period

• 8

• A, amplitude

• 6

• D, midline

• 7

• C, phase shift

y=Asin(B(x-C))+D is the standard form. A is the Amplitude B helps you find the period, B=2pi/period C is the phase shift D is the midline (vertical shift) For y=7sin(6(x-8))+9,

• 9

• C, phase shift

• 8

• B, helps calculate period

• 7

• A, amplitude

• 6

• D, midline

Sin is related to ​ (a)   , cos is related to ​ (b)   , and tangent is related to ​ (c)  

• Csc

• sec

• cotangent

cos x

• 1/cos x

• 1

• cot x

• -1

cos²(w) - cos(w)sec(w)

• A. -sin(w)

• B. sin²(w)

• C. -sin²(w)

• D. csc(w)