Unit Test 4 Pre Clac
What basic trigonometric identity would you use to verify that cot x sin x = cos x?
B. cotx=cosx/sinx
Given 1+tanx/1+cotx=2, find a numerical value of one trigonometric function of x.
B. tanx=2
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of sin(x+y) if sin x= 4/9 and sin y=1/4
C.
Find the exact value of cos 105°.
C.
Find the exact value of sec 795 degrees
C.
Find the exact value of the following expression. cos(-750° + 60°)
C.
Given sin theta =2/5 and 0 degrees <Theta< 90 degrees; find sin2theta
C.
Given sin theta= 1/3 and 0<theta<pi/2; find tan2 theta
C.
The coordinates of the vertices of a triangle are represented by the polygon matrix 648-15-05-00-00_files/i0170000.jpg. Which polygon matrix represents the image of the triangle under a 90° counterclockwise rotation about the origin?
C.
Use a half-angle identity to find the exact value of tan 22.5 degrees
C.
Use a half-angle identity to find the exact value of tan 5pi/12
C.
What basic trigonometric identity would you use to verify that sinx+1/sinx= 1+csc x
C.
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of cos(x-y) if cos x=3/5 and cos y=4/5
C. 24/25
What basic trigonometric identity would you use to verify that sinx+1/sinx = 1 + cscx
C. csc x= 1/sinx
What basic trigonometric identity would you use to verify that sin^2x+cos^2x/cosx = secx
C. sin^2+cos^2x/cosx=sec x
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of tan(x-y) if cscx=5/3 and cosy=5/13
D.
Find sec x if tan^2x=1/2
D.
Find the exact value of sin 165 degrees
D.
Find the exact value of sin pi/12
D.
Find the exact value of the following expression. sin(165° + 60°)
D.
Find the exact value of the following expression. sin(285° - 240°)
D.
Find the rotation matrix for the following angle. Round entries to the nearest hundredth, if necessary. 30°
D.
Given tan theta 4/3 and pi< theta< 3pi/2; find cos2 theta
D.
Use the following half-angle identity to find the exact value of tan165°.
D.
Which double-angle or half-angle identity would you use to verify that sin2x/2sin^2x=cotx
D.
Use the following half-angle identity to find the exact value of tan165°.
D. -2+ square root 3
If sin theta= 3/5 and q terminates in the first quadrant, find the exact value of cos 2q.
D. 7/25
When an alternating current of frequency f and peak current passes through a resistance R, then the power delivered to the resistance at time t seconds is Write an expression for the power in terms of
D. P=1 0^2 R(1-cos^2 2 pi ft)
Find a numerical value of one trigonometric function of x for csc x=sin x tan x + cosx
D. cotx=1
Given 649-10-05-00-00_files/i0150000.jpg, find a numerical value of one trigonometric function of x.
D. sinx=1/2
Find csc x if sin x + cot x cos x = square root 3
D. square root 3
Find the image of (5, 3) after a counterclockwise rotation of 270° about the origin.
a. (3, -5)
Find the image of (9, 5) after a counterclockwise rotation of 270° about the origin.
a. (5, -9)
If tan^3 theta -1/ tan theta -1 - ..... Find cot theta
a. -1
Find the exact value of cos 105 degrees
A.
Find the exact value of tan 195 degrees
A.
Find the exact value of the following expression. cos(195°)
A.
Find the exact value of the following expression. sin (5pi/6+3pi/4)
A.
Find the rotation matrix for the following angle. Round entries to the nearest hundredth, if necessary. -45°
A.
Given sec theta=-4/3 and 90 degrees
A.
Use a half-angle identity to find the exact value of cos 15 degrees
A.
Use a half-angle identity to find the exact value of sin 3pi/8
A.
Use a half-angle identity to find the exact value of sin 75 degrees
A.
Use a half-angle identity to find the exact value of tan 105°.
A.
When an alternating current of frequency f and peak current i0190000.jpg passes through a resistance R, then the power delivered to the resistance at time t seconds is i0190001.jpg. Write an expression for the power in terms of
A.
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of sin(x+y) if cosx=8/17 and siny=12/37
A. 621/629
If a and b are the measures of two first quadrant angles and sin a = 4/5 and sin b =5/13, find sin (a + b).
A. 63/65
What basic trigonometric identity would you use to verify that
A. tanx=sinx/cosx
Find the exact value of cos 15°.
B.
Find the exact value of cos 7pi/12.
B.
Find the exact value of the following expression. sin(165°)
B.
Problem Solving Find the exact value of the following expression. cos(345°)
B.
The coordinates of the vertices of a triangle are represented by the polygon matrix 648-15-05-00-00_files/i0160000.jpg. Which polygon matrix represents the image of the triangle under a 180° counterclockwise rotation about the origin?
B.
Which sum or difference identity would you use to verify that sin (90° + q) = cos q?
B.
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of tan(x-y) if sinx=8/17 and cosy=3/5
B. -36/77
Given cos theta=4/5 and 0 degrees< theta< 90 degrees
B. 24/25
Given cos theta=4/5 and zero degrees< thetha < 90 degrees, find 2sin theta
B. 24/25
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of sin(x+y) if cosx=8/17 and siny=12/37
a. 621/629
Given csc x/cot x = square root 2, find a numerical value of one trigonometric function of x.
a. secx = square root 2
What basic trigonometric identity would you use to verify that sinxcosxtanx=1-cos^2x?
a. tanx=sinx/cosx
Find the image of (-8, 9) after a counterclockwise rotation of 180° about the origin
b. (8, -9)
If and q terminates in the fourth quadrant, find the exact value of tan 2q.
b. -24/7
Assume that 0<x<pi/2 and 0<y<pi/2. Find the exact value of sin(x+y) if sin x=8/17 and cos y=3/5
b. -36/77
What basic trigonometric identity would you use to verify that cot x sin x = cos x?
b. cotx= cosx/sinx
Find cot x if sin x cot x csc x =
b. square root 2
Find cot x if sin x cot x csc x = square root 2
b. square root 2
Given 649-10-05-00-00_files/i0130000.jpg, find a numerical value of one trigonometric function of x.
b. tan x=2
Find the exact value of cos 105°.
c.
Given sin theta=1/3 and 0 < theta< pi/2;find tan2 theta
c.
Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?
c. cos (a -b) = cos a cosb + sin a sin b
Find cos x if sin^2x-1/cos x = -1
c. 1
Which double-angle or half-angle identity would you use to verify that
c. cos2a=cos^2a-sin^2a
Find a numerical value of one trigonometric function of x for
c. sinx=1
Find the exact value of sin pi/12
d.
Use a half-angle identity to find the exact value of cos 7pi/12.
d.
Find the image of (2, -3) after a counterclockwise rotation of 90° about the origin.
d. (3, 2)
Find all solutions for a triangle with A= 140, b=10, and a=3. Round to the nearest tenth.
d. no solutions
Given tan theta= -2 and pi/2< theta < p; find cos2 theta
d. -3/5
Find all solutions for a triangle with A=140, b=10, and a=3 Round to the nearest tenth.
d. no solutions.
Find the exact value of sin pi/12.
d. square root 6 - square root 2/4.
Given 649-10-05-00-00_files/i0120000.jpg, find a numerical value of one trigonometric function of x.
sec x= square root 2
What basic trigonometric identity would you use to verify that tan x cos x = sin x?
tanx=sinx/cosx
