Unit Test 4 Pre Clac

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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


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