Trigonometry Midterm Review

Right Triangle Measurements

100

What is the Phytagoream Theorem formula?

a^2+b^2=c^2

200

Convert 30,10',15" to the decimal degree form. Round to the nearest thousandth of the degree.

30.171

300

The top of an antenna is 125 feet above ground level. The tower is to be anchored by a guy wire 20 feet below its top to a point on the ground 80 feet from the base of the tower. What is the length of the guy wire? Round to nearest hole number.

132ft

400

Tan^2-Sec^2

-1

500

Convert 9pie/5 into degrees. What quadrant does it terminates?

324, Quadrant IV

Trigonometric Identities and Adding Formula

100

Simplify: cot(x)/cos(x)sec(x)

cot(x)

200

True or False: tan(x)-sec(x)=sin(x)-1/cos(x)

True.

300

1-cos^2(x)/1+sin(x)=___

Sin(x)

400

Solve: sin(pie/4 - B)

Square root 2/2(cosB-sinB)

500

Find the value of tan(pie+x) if x terminates in Quadrant III and sin(x)=-5/13

5/12

Double-Angle Formula

100

If cos(x)=3/5 and "x" is located in the fourth quadrant, then sin2(x)=___.

-24/25

200

Sin2(x)/Sin(x)+1+Cos2(x)/cos(x)

4cos(x)

300

True or False: cos2x+2sin^2x=2

False.

400

Solve: sin2(x)+cos(x)=0 for 0<x<180

90.

500

Show that cos2x+1=2cos^2x

cos2x + 1 = 2cos^2x cos2x = 2cos^2x - 1 2cos^2x - 1 / cos2x cosx - 1

Half-Angle Formula

100

Square root 1-cos(45)/2

Sin22.5

200

Cos1/2B

2 square root 5/5

300

Sin^2(x/2)-cos^2(x)

-cos(x)

400

For an acute angle X, tan(X)tan(X/2)

Sec(X)-1

500

1-tan^2(X/2)/1+tan^2(X/2)

Cos(X)

Sessions Review

100

Tan45-10cos60

-4.0

200

Cos(870)-sin(780)

-square root 3

300

Cot(180)

Undefined.

400

Csc(X)-csc(X)cos^2(x)

Sin(X)

500

Match the following items: -1. Csc(90) 0. Tan(270) 1. Sin(360) Undefined. Sec(180)

Sec(180)=-1 Sin(360)=0 Csc(90)=1 Tan(270)=undefined