Ratios
Reference angles
Cofunction
Solve Right Triangles
100

Triangle ABC is a right triangle with a=6 and b=8.  Find tan(A).

3/4

100

Find the reference angle for 225 degrees.

45

100

Rewrite in terms of the cofunction

sin(21.5)

cos(68.5)

100

If ABC is a right triangle where angle C is 90 degrees, what do you know about angles A and B?

add to 90

200

Triangle ABC is a right triangle with a=6 and b=5.  Find sin(A)=

(6sqrt61)/61

200

Find the reference angle for 975 degrees

75

200

Rewrite in terms of the cofunction

csc(21.9)

sec(68.1)

200

ABC is a right triangle.  If A=42 degrees and side c=9.8, find side a.

a=7.1

300

An angle's terminal side contains the point (4, -3).  Find cosine of that angle. 

4/5

300

Find the exact value of sin(240) 

(-sqrt3)/2

300

Rewrite in terms of the cofunction

sin(2x-10)

cos(100-2x)

300

ABC is a right triangle.  If angle B=65 degrees and side a=2.6, find side c.

c=6.2

400

An angle's terminal side contains the point (-7, 2).  Find cosecant of that angle.

(sqrt53)/7

400

Find the exact value of sec(315)

-sqrt2

400

Given the following, solve for x

sin(2x+40)=cos(x-10)

x=20

400

ABC is a right triangle.  If side a=7.4 and side b=8.1, find angle A.  

A=42.4 degrees

500

Suppose tan(A)=4 and A is in quadrant 3.  Find csc(A)

(-sqrt(17))/4

500

There are two angles where the equation below is true.  One solution is A=60.  What is the other?

sin(A)=(sqrt3)/2

120

500

Given the following, solve for x

sec(2/3x+50)=csc(4/3x-10)

x=25

500

An equilateral triangle has a perimeter of 18.  Find the altitude.


3sqrt3 approx 5.2

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