Math test english 5 docx

Trigonometry

Basic trigonometric ratios, graphs, identities, and equations are covered in this section.

BASIC TRIGONOMETRIC RATIOS

sin A = hy

o

p

p

o

p

t

o

e

s

n

it

u

e se opposite refers to the length of the leg opposite angle A.

cos A = hy

a

p

d

o

ja

te

c

n

en

u

t se adjacent refers to the length of the leg adjacent to angle A.

tan A = a

o

d

p

j

p

a

o

c

s

e

i

n

te t

TRIGONOMETRIC IDENTITIES

sin2 x + cos2 x = 1

tan x = c

si

o

n

s

x

x

sin 2x = 2sin x cos x

cos 2x = cos2 x − sin2 x

tan 2x = 1

2

−

ta

ta

n

n

x

2 x

Practice Questions

Directions

After reading each question, solve each problem, and then choose the best answer from the choices given.

(Remember, the ACT Math Test is different from all the other tests in that each math question contains five

answer choices.) When you are taking the official ACT, make sure you carefully fill in the appropriate bub￾ble on the answer document.

You may use a calculator for any problem, but many problems are done more quickly and easily with￾out one.

Unless directions tell you otherwise, assume the following:

■ figures may not be drawn to scale

■ geometric figures lie in a plane

■ “line” refers to a straight line

■ “average” refers to the arithmetic mean

Remember, the questions get harder as the test goes on. You may want to consider this fact as you pace

yourself.

–ACT MATH TEST PRACTICE–

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