Victory for the ACT Student Text 15e

246 • M ATH

••—‡ ƒ ƒ‰Ž‡ ™‹–Š ”ƒ†‹ƒ ‡ƒ•—”‡ i ‡š‹•–• •—…Š –Šƒ– cos 5 3 = − i ƒ† < < r i 2 r Ǥ Šƒ– ‹• –Š‡ ˜ƒŽ—‡ ‘ˆ sin i ǫ A. 3 5 B. 5 4 Ǥ 5 3 D. 5 4 Ǥ 4 5

5.

The Cambridge Edge ‡–‡”‹‡ ™Š‡–Š‡” ƒ –”‹‰ ˆ—…–‹‘ ‹• ’‘•‹–‹˜‡ ‘” ‡‰ƒ–‹˜‡ —•‹‰ –Š‡ ‡‘‹…DzAŽŽ S–—†‡–• ƒ‡ ƒ„”‹†‰‡Ǥdz ͳǤ All –”‹‰ ˆ—…–‹‘• ƒ”‡ ’‘•‹–‹˜‡ ‹ –Š‡ ϐ‹”•– “—ƒ†”ƒ–Ǥ ʹǤ Ž› –Š‡ sine ƒ† ‹–• ”‡…‹’”‘…ƒŽ ƒ”‡ ’‘•‹–‹˜‡ ‹ –Š‡ •‡…‘† “—ƒ†”ƒ–Ǥ ͵Ǥ Ž› –Š‡ tangent ƒ† ‹–• ”‡…‹’”‘…ƒŽ ƒ”‡ ‹• ’‘•‹–‹˜‡ ‹ –Š‡ –Š‹”† “—ƒ†”ƒ–ǡǤ ͶǤ Ž› –Š‡ cosine ƒ† ‹–• ”‡…‹’”‘…ƒŽ ƒ”‡ ’‘•‹–‹˜‡ ‹ –Š‡ ˆ‘—”–Š “—ƒ†”ƒ–Ǥ Use POE ˆ ›‘— ƒ”‡ ”—‹‰ ‘—– ‘ˆ –‹‡ ‘ –Š‡ ‡šƒǡ ›‘— ƒ› Šƒ˜‡ –‘ ƒ‡ ƒ ‡†—…ƒ–‡† ‰—‡•• ‘ ‹–‡ ͓ͷǤ ‘™‹‰ 2 < < r r i ‡ƒ• –Š‡ ƒ‰Ž‡ ‹• ‹ —ƒ†”ƒ– ƒ† –Š‡ ‡‘‹… ‹• ‡‘—‰Š –‘ ‹‡†‹ƒ–‡Ž› ‡Ž‹‹ƒ–‡ ȋ Ȍǡ ȋ Ȍǡ ƒ† ȋ Ȍǡ •‹…‡ –Š‡•‡ ƒ”‡ ƒŽŽ ‡‰ƒ–‹˜‡Ǥ Šƒ– Ž‡ƒ˜‡• ƒ ͷͲȀͷͲ …Šƒ…‡ ‘ˆ ‰—‡••‹‰ …‘””‡…–Ž›Ǩ TRIGONOMETRIC RELATIONSHIPS

ˆ sin60 c ‹• ‡“—ƒŽ –‘ ˜ƒŽ—‡ ‘ˆ sin cos 30 30 2 2 c c ǫ F. ͷ G. 2 3 1 H. 2 5 Ǥ ͳ K. 4 3 2 3

ǡ ™Šƒ– ‹• –Š‡

6.

The Cambridge Edge ‡‘”‹œ‡ –Š‡•‡ –”‹‰ ”‡Žƒ–‹‘•Š‹’•ǣ sin csc x x 1

1

x

csc

x

sin

1

x

cos

x

sec

1

x

sec

x

cos

x

sin

x

tan

x

cos

x

cos

x

cot

x

sin

1

x

tan

x

cot

1

x

cot

x

tan

sin cos x 2 +

=

x

2

1

+

=

x

x

2

2

1

cot

csc

1 + =

x

x

2

2

tan

sec