Draw tangent graph y = sec ( x ), Mathematics

Assignment Help:

Graph y = sec ( x )

Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x)

Secant will not present at

               x = ........, - 5 ∏/2 , - 3 ∏/2 , - ∏/2 , ∏/2, 3 ∏/2 , 5 ∏/2 ,........

and the graph will have asymptotes at these points. Following is the graph of secant on the range  - 5 ∏/2

2003_common graph 10.png

Notice as well that the graph is always greater than 1 & less than -1.  It should not be terribly surprising.  Remember that -1 ≤ cos ( x ) ≤ 1 .  Hence, one divided by something less than one will be greater than 1.   Also,  1 / ±1 = ±1 and hence we get the following ranges for secant.

sec (? x)  ≥ 1  and      sec (? x)  ≤ -1


Related Discussions:- Draw tangent graph y = sec ( x )

The paperwork to purchase your new home, You recently started the paperwork...

You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in two weeks. You decide to hire a moving company, but are

Trigonometry, A 25 foot ladder just reaches the top of a house and forms an...

A 25 foot ladder just reaches the top of a house and forms an angle of 41.5 degrees with the wall of the house. How tall is the house?

Quantitative analysis, Suppose the economy is now ‘open’ and thus has an ex...

Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

#calculus, Ask question #divergent gradient u vector#

Ask question #divergent gradient u vector#

Find the area enclosed between two concentric circles, Find the area enclos...

Find the area enclosed between two concentric circles of radii 3.5cm, 7cm. A third  concentric circle is drawn outside the 7cm circle so that the area enclosed between it and the 7

Determine the property of partial ordered relation, Determine the property ...

Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and  Answer: antisymmetric

Compute the linear convolution, Compute the linear convolution of the discr...

Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and the impulse response function of a filter h(n) = {2, 1, 3} using the DFT and the IDFT.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd