Mathematics 4

Question 1

What are three basic methods for determining similar triangles

Answer 1

If two angles of one are congruent to two angles of the other

If the three ratios of the corresponding sides are equal

If two ratios of corresponding sides are equal and the angles between the sides are congruent

Question 2

What are the two basic properties of similar triangles

Answer 2

Their corresponding angles are congruent

the ratios of their corresponding sides are equal

Question 3

Trigonometry means _______

Answer 3

measurement of triangles
tri = 3
gon = angle
metry = measure

Question 4

sin A =

Answer 4

a/c

the length of the opposite side of A / the length of the hypotenuse

Question 5

cos A

Answer 5

b/c

the length of the adjacent side/ the length of the hypotenuse

Question 6

tan A

Answer 6

a/b

length of opposite side/ length of adjacent side

Question 7

cot A

Answer 7

b/a

length of adjacent side/ length of opposite side

Question 8

sec A =

Answer 8

c/b

length of hypotenuse/ length of adjacent side

Question 9

csc A =

Answer 9

c/a

length of hypotenuse/ length of opposite side

Question 10

sin

Answer 10

sine

Question 11

cos

Answer 11

cosine

Question 12

tan

Answer 12

tangent

Question 13

cot

Answer 13

cotangent

Question 14

sec

Answer 14

secant

Question 15

csc

Answer 15

cosecant

Question 16

trigonometric functions of complementary angles

sin B = b/c =

Answer 16

cos A

Question 17

trigonometric functions of complementary angles

cos B = a/c =

Answer 17

sin A

Question 18

trigonometric functions of complementary angles

tan B = b/a =

Answer 18

cot A

Question 19

trigonometric functions of complementary angles

cot B = a/b =

Answer 19

tan A

Question 20

trigonometric functions of complementary angles

sec B = c/a =

Answer 20

csc A

Question 21

trigonometric functions of complementary angles

csc B = c/b =

Answer 21

sec A

Question 22

Each function of a pair of complementary angles within a triangle are the _______ of the other

Answer 22

cofunction

Question 23

Any function of an acute angle is equal to the _____

Answer 23

corresponding cofunction of the complementary angle