Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this document? Why not share!

860 views

725 views

725 views

Published on

Published in:
Education

No Downloads

Total views

860

On SlideShare

0

From Embeds

0

Number of Embeds

100

Shares

0

Downloads

22

Comments

0

Likes

2

No embeds

No notes for slide

- 1. TARUNGEHLOT Graphs of Trigonometric FunctionsSine CosinePeriod = 2 Period = 2 y = a sin (bx + c) y = a cos (bx + c)amplitude = a amplitude = a 2 2period = period = b b c cphase shift = phase shift = b bone cycle can be found by solving: one cycle can be found by solving: 0 bx c 2 0 bx c 2Tangent CotangentPeriod = Period = x –intercepts at n x –intercepts at n 2vertical asymptotes at x = n 2 vertical asymptotes at x = n y = a tan (bx + c) y = a cot (bx + c)
- 2. period = period = b b c cphase shift = phase shift = b bsuccessive vert. asymptotes for one branch: successive vert. asymptotes for one branch: 2 bx c 2 0 bx c Cosecant SecantPeriod = 2 Period = 2 Vertical asymptotes at x = n Vertical asymptotes at x = n 2 y = a csc (bx + c) y = a sec (bx + c) 2 2period = period = b b c cphase shift = phase shift = b bone cycle can be found by solving: one cycle can be found by solving: 0 bx c 2 3 bx c 2 2To graph y = a csc (bx + c):First graph y = a sin (bx + c); draw the To graph y = a sec (bx + c):vertical asymptotes at the x-intercepts; vertical asymptotes at the x-ints, First graph y = a cos (bx + c); draw thetake the reciprocals. vertical asymptotes at the x-intercepts; vertical as take the reciprocals.Summary: period x-intercepts y-intercepts Vertical asymptotes y = sin x 2 n 0 none y = cos x 2 1 none n 2 y = tan x n 0 x n 2
- 3. y = cot x none x n n 2y = sec x 2 none 1 x n 2y = csc x 2 none none x n

No public clipboards found for this slide

Be the first to comment