Intercept Me This!
Which functions have no zeros?
sec(x) & csc(x)
Which functions have a period of 2pi?
sin(x), cos(x), sec(x), and csc(x)
What is the range of cos(x)?
[-1, 1]
arctan(-sqrt(3)/3)
-pi/6
Which of the six trig functions are even?
cos(x) and sec(x)
Which functions have a y-intercept of 1?
cos(x) and sec(x)
Which functions have a period of pi?
tan(x) and cot(x)
What is the range of csc(x)?
(-inf, -1] U [1, inf)
sin-1(-1/2)
-pi/6
If the equation of vertical asymptotes is represented by x = npi, what does n represent and provide numeric examples of values n could be?
{...-2, -1, 0, 1, 2, 3, ...}
Which functions have no y-intercept?
csc(x), and cot(x)
Which functions have no asymptotes?
sin(x) and cos(x)
What is the domain of sec(x)?
x=pi/2 + npi, n element of integers
Evaluate arccos(cos(5pi/4))
3pi/4
Given that sin(x) = -0.754, which of the following is true?
A) sin(-x) = -0.754
B) sin(-x) = 0.754
C) cos(-x) = -0.754
D) csc(-x) = -0.754
Given that sin(x) = -0.754
Since sin is ODD (opp inputs are opp outputs)
B) sin(-x) = 0.754
Which functions has zeros/x-intercepts at npi
sin(x) and tan(x)
Which functions have asymptotes at x=npi?
csc(x) and cot(x)
What is the domain and range of arccos(x)?
D: [-1, 1]
R: [0, pi]
Evaluate cot(sin-1(-sqrt2/2))
-1
What do cotangent and cosecant have in common - Name 3 things!
Both reciprocal functions
Both asymptotes at x = npi
Both sine in the denominator
Same domain
No y-int
Which functions has zeros/x-intercepts at pi/2 + npi
cos(x) and cot(x)
Which functions have asymptotes at x=pi/2 + npi?
sec(x) and tan(x)
What is the range of arctan(x) and arcsin(x) and how are they similar/different?
arcsin(x) range [-pi/2, pi/2]
arctan(x) range (-pi/2, pi/2)
Evaluate sin(tan-1(5/12))
5/13
Name all three pythagorean identities
sin2(x)+cos2(x)=1
tan2(x)+1=sec2(x)
1+cot2(x)=csc2(x)