Trig IDs
Simplify the following:
secthetacostheta
1
Find the angle values between [0, 2pi]
sintheta = 1
theta = pi/2
Find a + b if:
a = [[3,1],[4,2]] and b=[[1,2],[-3,4]]
[[4,3],[1,6]]
Find the Sum:
sum_(k=1)^5 3k+1
50
Solve the following system:
x= y + 1
3x + 2y = 13
y = 2
x = 3
Simplify the following:
(sin(-theta))/cos(-theta)+tantheta
0
Find the angle values between [0, 2pi]
tantheta=1
theta = pi/4, (5pi)/4
Find 3A if:
A=[[4,2,-1],[sqrt(5),1/2,0]]
[[12,6,-3],[3sqrt(5),3/2,0]]
Give the formula for the nth term:
6, 8, 10, 12...
an=2n+4
2x - 4y = -14
-2x + 5y = 18
x=1
y=4
Simplify the following:
cotthetatantheta-cos^2theta
sin^2theta
Find the angle values between [0, 2pi]
tantheta=(sqrt3)/3
theta = pi/6, (7pi)/6
Find AB if:
A=[[1,2,3],[4,8,-3]] and B=[[2,2],[1,3]]
Undefined (no solutions)
Give the formula for the nth term:
3, 9, 27, 81...
an=3(3)n-1
Solve the system:
5x + 2y = 16
2x - 3y =-5
x=2
y=3
Verify the identity:
(sec^2theta-1)/sec^2theta=sin^2theta
(Work on boards)
Find the angle values between [0, 2pi]
2sintheta-sqrt3=0
theta=pi/3, (2pi)/3
Find AB if:
A=[[2,4],[1,2]]and B=[[5,2],[3,0]]
[[22,4],[11,2]]
Find the 150th partial sum of the Arithmetic sequence:
5, 16, 27, 38, 49, ...
123,675
Decompose the rational function into a partial fraction:
(3x+5)/(x^2+3x+x)
(1/(x+2))+(2/(x+1))
Verify the identity:
(1/(1-sintheta))+(1/(1+sintheta))=2sec^2theta
(Work on Boards)
Find the angle values between [0, 2pi]
2sqrt2sectheta=-4
theta = (3pi)/4,(5pi)/4
Find 2AB - B if:
A=[[3,-1],[4,-9]] and B=[[1,-2],[-2,3]]
[[9,-16],[46,-73]]
Find the 8th term of the Geometric Sequence with a1=8 and r=
sqrt(5)
5000
Decompose the rational function into a partial fraction:
(3x^2-6x-16)/(x^3-4x)
4/x+1/(x+2)-2/(x-2)