Trigonometric Ratios
What are the primary trigonometric ratios ?
What is the period of y = sin(x)?
2π
This is the longest side of a right triangle.
Hypothenuse
Name one real-life use of trigonometry.
Navigation, Architecture, Music, Astronomy, etc.
What is the exact value of sin(30)?
1/2
What is the amplitude of y = 3cos(x)?
3
This trigonometric function is the ratio of the opposite side to the hypotenuse.
Sine (sin)
Who's the best Math Teacher ?
Ms. Carla
If a right triangle has a hypotenuse of 10 and an opposite side of 6, what is sin(θ)?
6/10 = 3/5
What is the range of y = -2sin(x) + 1?
[-1, 3]
If an angle is greater than 90° but less than 180°, it is called a __ angle.
Obtuse
What shape do ocean waves resemble when modeled with trigonometric functions?
Sine Function
When finding the period, when do you use 2π and π?
2π =For Sin and Cos
π = Tan
How does the function y = sin(x - π/2) compare to y = cos(x)?
They are the same function (sin(x - π/2) = cos(x))
What do we call the function that is the reciprocal of sine?
Cos
Engineers use trigonometry to build bridges. What kind of angles help determine stability?
Right angles and acute angles