# Trig

posted by .

a) Determine the equation of a sine function that would have a range of {y€R|-7<(or equal) Y <(or equal) 1} and a period of 135degrees.

b) determine the cosine function that results in the same function an part (a).

Any help provided will be greatly appreciated.

• Trig -

your range is 8, so you need
4cos ??

period = 360/k
360/k = 135
135k = 360
k = 8/3

so far we have
y = 4cos (8/3)Ø

that would give us a max value of 4, but we want our max to be 1, so we have to drop our curve by 3 units

final:
y = 4cos(8/3)Ø - 3

• Trig -

Ok I was wondering why the zero with the slash was in the equation, i have never seen that before!

## Similar Questions

1. ### Graphing trigonometric function

sine and cosine have a period 2pi tangent and cotangent have period pi Can someone explain why?
2. ### trig

Suggest a sine function that will "imitate" the cosine function by manipulating ONE of a,b,c or d. Thank you
3. ### trig

Suggest a cosine function that will "imitate" the sine function by manipulating ONE of a,b,c or d. Thank you
4. ### algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different …
5. ### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, …
6. ### pre calc

The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value …
7. ### Trig

4. Write the equation of the cosine function with an amplitude of 1/3, a period of 2pi, and a phase shift of 3pi/2. 5. Write the equation of the sine function with an amplitude of 4, a period of pi/2, and a phase shift of -pi/4.
8. ### Trig

Which trigonometric function can equal or be greater than 1.000?
9. ### trig

Construct the equations of the following trigonometric functions: A)A sine function with amplitude 2, period , phase shift /3 right B)A tangent function with a reflection in the y-axis, period ¾, translation up 5 units C)A cosine …