Lesso n Ch eck
Do y o u k n o w H OW?
Find each trigonometric ratio for A
angle A in the triangle at the right.
6
- sin A 2. cos A 3. tan A
c 8 e
Solve using trigonometric ratios. - A right triangle has a 40° angle. The h y p o ten u se is
10 cm long. W hat is th e length of th e side opposite
the 40° angle? - A right triangle's legs are 7 in. an d 24 in. long. W hat is
the m easure of th e angle opposite the 24-in. leg?
Do yo u UN DERSTAND? ^ PRA O TCES
6. Vocabulary D escribe th e difference b etw een finding
th e sine of an angle an d th e cosine of an angle.
@ 7. Error Analysis In a right
triangle, th e h ypotenuse
is 5 in. long, a n d th e side
opposite LA is 4.5 in.
long. A s tu d en t found the
measure of LA as shown
on th e calculator screen
at th e right. D escribe an d
correct th e stu d e n t’s error.
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
Practice For A FGH and ALMN, find the value of each expression.
MATHEMATICAL
PRA CTICES
8. sinF 9. cosF 10. tan G
- c o sL 12. tan M 13. sin M 5
- tanF 15. sin G 16. tanF H
Find the value of each expression. Round to the nearest ten-thousandth.
- sin 10° 18. tan 25°
- cos 85° 20. tan 12°
- sin 70° 22. cos 22°
- sin 71° 24. ta n 30°
See Problem 1.
M 1 5 A/
n
Find the value of x to the nearest tenth.
25.
28.
25
See Problem 3.
\ X
1 41°\
/iF r /3 6 ° r
56 29
c
Po w er A lg eb r a.co m | Lesso n 10- 6 Tr i g o n o m e t r i c Rat i o s^649