MA 150 Trig Jeopardy

On A Triangle

What's That Value?

Verifying Identities

Graphing

Solving Equations

100

Write the six trigonometric ratios from angle s.

sin(s)=7/√113

cos(s)=8/√113

tan(s)=7/8

csc(s)=√113/7

sec(s)=√113/8

cot(s)=8/7

100

Give the exact value of

$cos(pi/6)$

$sqrt(3)/2$

100

What is the quotient identity for tangent?

$(sinx)/(cosx)$

100

What is the amplitude of

$y=-7sin(pix)+9$

100

Solve the equation on the interval [0,2π). Give exact answers in radians.

$sinx=-sqrt(3)/2$

$x=(4pi)/3,(5pi)/3$

200

Using trigonometry, find the value for x:

Tan 54 = opp / adj

Tan 54 = x / 5

5 Tan 54 = x

x = 6.9m

200

Give the exact value of

$sin((5pi)/4)$

$-sqrt2/2$

200

Give a Pythagorean Identity that equals 1.

$sin^2x+cos^2x=1$

$csc^2x-cot^2x=1$

$sec^2x-tan^2x=1$

200

Write the equation of any trig function that fits the graph.

answers will vary

easiest:

$y=4cosx$

200

Solve the equation on the interval [0,2π). Give exact answers in radians.

$csctheta=2$

$pi/6,(5pi)/6$

300

Using trigonometry, calculate the value for C. Round to the nearest tenth.

cos(21) = adj / hyp

cos(21) = 300 / C

C•cos(21)=300

C=300/cos(21)

C=321.3

300

Give the exact value of

$csc((5pi)/6)$

300

Verify

$secx/cscx=tanx$

$1/cosx ÷ 1/sinx=sinx/cosx=tanx$

300

What is the phase shift in

$y=-7cos(2x-pi/3)+1$

$pi/6 right$

300

Solve the equation on the interval [0,2π). Give exact answers in radians.

$tan^2theta-3=0$

$theta=pi/3,(2pi)/3,(4pi)/3,(5pi)/3$

400

In △CAB, m∠A=90°. Determine m∠B when...

CB=12.8 and AB=3.9

(round to the nearest hundredth)

Cos^-1(3.9/12.8) = 72.26

400

Give the exact value (in radians) of

$cos^-1(-sqrt2/2)$

$(3pi)/4$

400

Verify

$cscx-sinx=cotxcosx$

$1/sinx-sinx$

$1/sinx-sin^2x/sinx$

$(1-sin^2x)/sinx$

$cos^2x/sinx=cosx/sinx•cosx=cotxcosx$

400

On graph paper...

Graph. Label all axes.

$y=-4cos(pix)+3$

400

Find all solutions of the trigonometric equation. Give exact answers in radians.

$2costhetasintheta+costheta=0$

$theta=pi/2+2pin, (3pi)/2+2pin, (7pi)/6+2pin,(11pi)/6+2pin$

500

What angle does the rocket have to fly at to reach the rocket base 300 km above Earth? Round to the nearest degree.

Tan x = 300 / 90

x = Tan ^-1 ( 300 / 90 )

x = 73 degrees

500

Give the exact value (in radians) of

$arctan(-sqrt3)$

$-pi/3$

500

Verify

$-sec^2xsin^2x=1-sec^2x$

$-sec^2xsin^2x$

$-1/cos^2x•sin^2x$

$-sin^2x/cos^2x$

$-tan^2x$

$PI$

$1-sec^2x$

500

On graph paper...

Graph. Label all axes.

$y=2sin(8(x-pi/8))-1$

500

Find all solutions of the trigonometric equation. Give exact answers in radians.

$tan^2x-2tanx+1=0$

$pi/4+pin,(5pi)/4+pin (optional)$