# trig

posted by .

how would i graph 3sec(x + (pi/2))

• trig -

i know the 3 changes the amplitude but i don't know how i would do that for the graph of sec

• trig -

Sec x = 1/cos x

so sketch y = 3 cos x from -2π to +2π
then move it horizontally π/2 units to the left.
Draw asymptotes at each of the x-intercepts

Above the upper part of the cosine curve, sketch a curve in the shape of a U between the two asymptotes, with its minimum point placed on the maximum of the cosine curve.

Below the lower part of the cosine curve, sketch a curve in the shape of a upside-down U between the two asymptotes, with its maximum point placed on the minimum of the cosine curve.
Since the maximum of the cosine curve is 3 and its minimum is -3, the secant curve does not exist between -3 and +3

In the following site, you can see the secant graph along with its cosine graph in its simplest form
http://www.squarecirclez.com/blog/explore-the-slope-of-the-tan-curve/5317

## Similar Questions

1. ### math (advanced alg and trig)

Solve to the nearest minute: x is greater than or equal to 0 and less than 360. 3sec^2 x-8tan-6=cotx
2. ### trig

Graph three periods of the function. (identify period and phase shift and intercepts) y = f(x) = √3/2 sin(2x) - 1/2 cos(2x) if you can't graph it can you at least get it into that simpler form which is graph able.
3. ### Trig

The graph of y = 7cosx + 24sinx would be a sinusoid if it were plotted. What would be the first positive value of x at which there is a high point?
4. ### Trig

If the center of a circle is at (2,2) with a radius of 4 the equation of the graph would be : a) (x-2)^2 + (y-2)^2 = 16 b) (x+2)^2 + (y+2)^2 = 16 I think it would be b is that correct?
5. ### trig/precalc

a car's flywheel has a timing mark on it's outer edge. the height of the timing mark on the rotating flywheel is given by y=3.55sin[x - (pi/4)]. graph one full cycle of this function. I was not taught how to graph a function like this, …
6. ### trig

16cos(x)-3sec(x)=0 Find all solutions for x in [0, 2pi)
7. ### trigonometry

graph y=-3sec(2x-pi/3)proved the period vertical translation and the phase shift
8. ### Pre-Calc/Trig...

Explain how the graph of the given function is a transformation of the graph of y=x^2 *y=x^2+7
9. ### Pre-Calc/Trig...

Explain how the graph of the given function is a transformation of the graph of y=x^2 *y=(x+5)^2
10. ### Pre-Calc/Trig...

Am I right? Consider the function y=x^2+5x-2. What would happen to the graph if (x - 3) was substituted in place of the x?

More Similar Questions