Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
14 Cards in this Set
- Front
- Back
|
when performing arcsin, arccosine, or arctan there should always be ______ solutions in the domain 0 to 2pi, the calculator telling you only one. |
Two. Always write two solutions when you perform arc functions. THEN interpret them to see if you need more. |
|
|
To find the second solution in a sine period of 0 to 2 pi |
subtract the first x value from pi |
|
|
To find the second solution in a cosine period of 0 to 2 pi |
subtract the first x value from 2 pi |
|
|
Sketching the funciton in a given domain is useful because |
you are able to see how many solutions you are supposed to get |
|
|
To find the second solution in a tangent period of 0 to 2 pi... |
add pi |
|
|
(cosx)^2 is written as |
cos^2(x) and likewise for any others |
|
|
when cos = 0, tan is? |
undefined because you can not divide by zero. This is what gives rise to asymptotes as tan=sin/cos |
|
|
pythagorean identity |
sin^2 x + cos^2 x = 1 |
|
|
When solving trigonometric equations, solve for the argument and then |
calculate all other values in the domain. Be especially careful with the period. If the argument is of the form kx and not x then the period will be 2pi/k for cos and sin and pi/k for tan |
|
|
Dividing sin^2 x + cos^2 x = 1 by sin^2 gives |
1 + cot^2 x = csc^2 x |
|
|
Dividing sin^2 x + cos^2 x = 1 by cos^2 gives |
tan^2x + 1 = sec^2 x |
|
|
CAST diagram tells you |
which quadrants the trig function is positive in |
|
|
A useful starting point when solving trig equations involving tan and also sin/cos is to change |
tan x into sinx/cosx |
|
|
Look out or hidden ____________ |
quadratics. When you will have, as an example, sin^2 x, sin x and a constant. Solve by factorizing or formula. |
