Trig Review Part I

Co-Functions

100

What is sin 's co-function identity?

cos

200

True / False:  sec and csc are co-functions identities

TRUE

300

Solve for x:

sin(x+4) = cos(x)

x+4+x=90  so x=43

400

Solve for x:

tan(2x-3) = cot (3x+8) 

2x-3+3x+8=90 so   x=17

500

Solve for x:

sec (7x-10) = csc (3x-7)

7x-10+3x-7=90  so x = 10.7

Trig Ratios

100

Name the six trig ratios

sin, cos, tan, csc, sec, tan

200

What is the reciprocal of sin? 

csc

300

Find cotA  if  tanA = -3/4

cotA = -4/3

400

Find secA  if  cosA = \/11 / 6   (square root of 11 over 6)

6 / sqrt(11)  --->  6 sqrt. 11 / 11

500

Solve:   sin(90) =  ??

1

Solving

100

Find the complement of a 45 degree angle

90-45 = 45

200

Find the angle measures of supplementary angles 3x+1  and   2x+4

3x+1+2x+4 = 180  so x=35 and the angles are 

3(35)+1 = 106

2(35)+4 = 74

300

Solve: 

90 degrees - 34 deg, 26 min, 52 seconds

55 deg, 33 min, 8 sec

400

Use a calculator to find:

sin(55 deg, 23 mins)

0.822971155

500

Find: 

cos270 + 8cos180 + 5sec360

-3

Vocab

100

What are complementary angles?

Angles that add up to 90 degrees

200

what are supplementary angles?

angles that add up to 180 deg

300

What is a reference angle used for?

Used when sketching angles and you need to find trig ratios 

400

Name ONE quotient identity

sinA / cos A = tan A 

or  

cosA / sinA = cotA

500

Name one Pythagorean Identity

sin²A + cos²A = 1

sec²A = tan²A +1

Random

100

Write cos73  in terms of its co-function

cos(90-73) 

=sin17

200

Find  tan15  in terms of its cofunction

90-15

cot75

300

Name a positive and negative coterminal angle of 1300

positive:  1660 or  940, 580, 220

negative: -140

400

What is the sin45 = ?

sqrt. 2  over 2

500

Name 3 quadrantal angles 

0, 90, 180, 270, 360, 450, 540, etc