Trigonometry Quiz
sec reciprocal identity
1/cos
tan reciprocal identity
1/cot
sin reciprocal identity
1/csc
cos reciprocal identity
1/sec
csc reciprocal identity
1/sin
cot reciprocal identity
1/tan
330 degrees
11pi/6 radians (sqrt3/2 , -1/2)
0 or 360 degrees
2pi radians ( 1, 0)
120 degrees
2pi/3 radians (-1/2, sqrt3/2)
270 degrees
3pi/2 radians (0,-1)
135 degrees
3pi/4 radians (-sqrt2/2, +sqrt2/2)
240 degrees
4pi/3 radians (-1/2 , -sqrt3/2)
300 degrees
5pi/3 radians (1/2 , -sqrt3/2)
225 degrees
5pi/4 radians (-sqrt2/2 , sqrt2/2)
150 degrees
5pi/6 radians (-sqrt3/2 , 1/2)
315 degrees
7pi/4 radians (sqrt 2/2 , -sqrt2/2)
210 degrees
7pi/6 radians (-sqrt3/2 , -1/2)
Cotangent reciprocal of tangent
Adjacent/opposite
cos= adjacent/hypotenuse
Cos
What is the Domain and Range of sin(x) ?
Domain : (-infinity, infinity) Range: [-1,1]
What is the domain and range of cos(x) ?
Domain = (-infinity,infinity) Range = [-1,1]
Domain and Range of arcsin(x)?
Domain: [-1, 1] Range: [-pi/2, pi/2]
Domain and Range of arccos
Domain: [-1,1] Range: [0,pi]
Domain and Range of arctan(x)
Domain= ( -infinity, infinity) Range = ( -pi/2, pi/2)
What is the Domain and Range of Tan(x)?
Domain= ( x pi/2) Range= (-infinity,infinity)
Cos( -theta)
Even cos(theta)
Sec( -theta)
Even sec(theta)
Secant reciprocal of cos
Hypotenuse/adjacent
Cosecant(-theta)
Odd -csc(theta)
Sin(-theta)
Odd -sin theta
Tan( -theta)
Odd -tan(theta)
Cot(-theta)
Odd cot(-theta)
180 degrees
Pi radians (-1,0)
90 degrees
Pi/2 radians (0,1)
60 degrees
Pi/3 radians (cos=1/2, Sin=sqrt 3/2)
45 degrees
Pi/4 radians (sqrt2/2 , sqrt2/2)
30 degrees
Pi/6 radians ( sqrt3/2, 1/2)
Which quadrant is sin and cos positive ?
Quadrant 1
Which quadrant is cos negative and sin is positive?
Quadrant 2
Which quadrant is sin and cos negative?
Quadrant 3
Which quadrant is sin negative ?
Quadrant 4
sin = opposite/hypotenuse
Soh
tan= opposite/adjacent
Tao
cot identity
cos/sin
Cosecant reciprocal of sin
hypotenuse/opposite
tan identity
sin/cos