r:images.pcmac.org/sisfiles/schools/ga/gwinnettcounty... · 2019-09-25 · 16. find the angle, in...
Post on 19-Jan-2020
1 Views
Preview:
TRANSCRIPT
--
Name~~_I_~_V_)_t___~~_(._~~_____Integrated Trigonometry vJ ~Test (5.1-5.3) Review A
1. Determine the quadrant in which the angle lies. (The angle measure is given in radians.)
47l' ~ '-I.[I~ O ()0 +'. 07 -;:-:. _ -: 10 2;:i ~ J..l'I
2. Determine the quadrant in which the angle -4, given in radians, lies.
~cJ _S.'1'/ lt . \ ~I\ - '-I. !-.. ~ ~ .... - i-l. q . l8 D Tl ~.
3. Determine the quadrant in which an angle, e, lies if e= 5.40 radians.
4. Determine the quadrant in which the angle lies. (The angle measure is given in radians.)
~ ~ -1 . <l ...--l-. \2fJ7 -., ~ :; -L S-. 7 \~
5. 7l'Determine a pair of coterminal angles (in radian measure) to the angle
::f t ll:?" "" r:"oj ~ 1T (l.-\\ 6~ \, l,J) -r:~ -
(.I> '
6. Determine a positive angle and a ne ative angle (in radian measure) coterminal to the angle
---TI ~~G@j
9
-- 7 (<i" rr ~"':-'-<', _ 1 - t- .... " --' ~'t q
7. Determine the quadrant in which the angle lies. 65°
8. Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 101'.
I () ) IJ f "366 :; 4 aI ,:) / tJ /-S60
9. Rewrite the given angle in radian measure as a multiple of 7l'. (Do not use a calculator.) 90°
10. Rewrite the given angle in radian measure as a multiple of 7l'. (Do not use a cal'culator.)
-lW _ IVtJ' -]I 't 6
- - /b~jI - (-I'tD - - ' --~'(<S; t~- ,
11. , h I 27l' , dReWrite t e ang e - radians In egree measure.
~r';~ ~ ~~()~5
12. Convert the given angle measure from radians to degrees. Round to three decimal places. :: ·~:: .~;~,o~~ [t~. 460 13. Convert the given angle measure from radians to degrees. Round to three decimal places.
-349 - 3. '1'1. !W- ::; ( -IQ'1. % ~ 14.
, -8°12'52" -+-~t-JA
pv 'tL-) Ii'.- LA.\.c.
Convert the angle measure to decimal degree form.
15. Convert the angle measure to DOM 'S· form.
-232.7675· .., 2.> 2- 0
16. Find the angle, in radians, in the figure below if S = 11 and r = 6.
17. Find the radian measure of the central angle of the circle of radius 4 feet that intercepts an arc of length 26 feet.
S:;rB ~/; ~F(t9
18. Find the length of the arc on a circle of radius r intercepted by a central angle () .
radius: r = 5 feet central arc: () = Sa 4
s=r8 S ;; G' (~~)
19. Sa Find the radius of a circular sector with an arc length 26 feet and a central angle radians. Round your answer
4
to two decimal places. s=- (8 . . I '" ~ ,;r~J.~Yitu l+ B6fl S; W b~ tLi ~- f~
4/{"/T 20. Determifi~ the exact value of cos () .
--
21. Determine the exact value of tanB .
12
~ 8:: l:J -----)( ~
.... D .,...1)
>~
--(2-j~ '
I ')- J
----~- ~w...-' -5 .
----\5
22 . 71L Find the point (x, y) on the unit circle that corresponds to the real number t. t=
/0- -~\ 4
l 2- \ '2--) 23. ( ) 51LFind the point x,y on the unit circle corresponding to the real number t =-.
6
24 . 1L Evaluate the tangent of the real number t = --. -<3
3 --2. -\\ ..., -J:"'
25. 41L Evaluate, if possible, the given trigonometric function at the indicated value. cot t, t =
3
__ 2Y... ... 2--- -\ _l6+ (~) -(
#j -'
-=(J "J-- -~ --~ - '{3" ~
226. 111L
Find the cosecant of the real number t=-. 6
l-27 . 71L
Find the cotangent (if it eXists) of the real number t = --. 4
-=- Cu-r { ~J ~ OJ 28. Evaluate the trigonometric function using its period as an aid. cos( 1~1L )
..{q It 1~1r)- --'- ...--=-- ~S ® ~ [)CoS ( 3 '30
? 01 ~l\~ i\ • J
29. I h' . f . .. . d 'd ' ( 147rEva uate t e trigonometric unction uSing ItS perlo as an al . Sin --3
(" , / "" IL.l1T' I ~:..]'\ _':> - (L-{ IIJ _ _ V :>/"-L -t' 3) - Sl "'- 3 -'
~ ~
30. Evaluate the trigonometric function using its period as an aid.
_'0 SIT ~ "rr\ (iT'\(')'()S ~ ,+ (g ) -:::J c:::PS <i Je -
31. Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)
27r tan
3
32. Evaluate sec(3.1). Round your answer to four decimal places.
-:=; _, \ () O()<t
33. Find the exact value of the given trigonometric function of the angle e shown in the figure. (Use the pythagorean Theorem to find the third side of the triangle.)
\S II
- a ~ IS b =8, C =17
34. Find the exact value of the given trigonometric function of the angle e shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.) o-
a ]10
H
- \ --0
---
35 , 2 Given that sinO =-, find secO ,
5 ~ (Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle 0; then use the Pythagorean Theorem to determine the third side,)
I (ps-9S a,C e ~
~~ C;~)S~";t,.. .--. " /'
91~. ">-- '5 G; {;l' G,,,~ce ..-.->J, +t? ~--L4-~d..6" ~ "X,
x-=: ~ 36, 7
Given that cosO = -, find cscO,12
(Hint: Sketch a right triangle corresponding to ,the trigonometric function of the acute angle 0; then use the
Pythagorean Theorem to determine the third side,)
37. Given sin300 =~ and cos 30° =.J3 ,determine the following : sec 30° 2 ~ 2
.(j -~...... J- L
.,.,. $-e-c. 3b - C;:}S 36 -f3 - -r; .r; L
38. If sin x =~ and cos x =.J3 ,evaluate the following function, esc x 2 2
\
top related