(1) Use given triangle to fill in the blank. A = b c c. (1) A = b c. tan cos sin

Transcription

1 0/3/206 Print Questions. Use given tringle to fill in the lnk. = () = () tn os sin 2. Write the rtios for sin M, os M, nd tn M. Give the ext vlue nd four deiml pproximtion. M K L Type the deiml pproximtion of the nswer rounded to four deiml ples. os M = os M = tn M = tn M = /0

2 0/3/206 Print Questions 3. Write the rtios for sin M, os M, nd tn M. Give the ext vlue nd four deiml pproximtion. K 5 3 L 5 0 M Type the deiml pproximtion of the nswer rounded to four deiml ples. os M = os M = tn M = tn M = 4. Use lultor to find the vlue of the trigonometri expression to four deiml ples. sin 54 sin 54 (Round your nswer to four deiml ples.) 5. Use lultor to find the vlue of the trigonometri expression to four deiml ples. tn 49 tn 49 (Type n integer or deiml. Round to four deiml ples s needed.) 6. Use lultor to find the vlue of the trigonometri expression to four deiml ples. os 59 os 59 (Round your nswer to four deiml ples.) 2/0

3 0/3/206 Print Questions 7. Find the vlue of x. o 37 x (Round to the nerest tenth s needed.) x 8. Find the vlue of x. 5 x 72 o x (Round to the nerest tenth s needed.) 9. rod is inlined t n ngle of 4. fter driving 5,69 feet long this rod, find the driver's inrese in ltitude. Round to the nerest foot. 5,69 ft 4 =? The driver's inrese in ltitude is ft. (Simplify your nswer.) 0.. skteording rmp is 8 in. high nd rises t n ngle of 5. How long is the se of the rmp? Round to the nerest inh. The se of the rmp is (Round to the nerest integer s needed.) Use lultor to pproximte ute inhes. to the nerest whole degree. sin = m (Simplify your nswer. Type whole numer. Round to the nerest degree s needed.). Use lultor to pproximte ute to the nerest whole degree. os = m (Simplify your nswer. Type whole numer. Round to the nerest degree s needed.) Use lultor to pproximte ute to the nerest whole degree. tn =.5 4. m (Simplify your nswer. Type whole numer. Round to the nerest degree s needed.) Use lultor to pproximte ute to the nerest whole degree. os = m (Simplify your nswer. Type whole numer. Round to the nerest degree s needed.) 3/0

4 0/3/206 Print Questions 5. Find the vlue of x x m x (Round to the nerest degree s needed.) 6. Find the vlue of x. x 4 7 x = (Do not inlude the degree symol in your nswer. Round to the nerest degree s needed.) 7. n identity is n eqution tht is true for ll the llowed vlues of the vrile. Write the definition of eh trigonometri rtio to show tht the eqution is n identity. tn X = os X hoose the orret nswer elow.... D. os X = os X = os X = os X = = = = tn X = = = tn X = = = tn X = = = tn X 4/0

5 0/3/206 Print Questions 8. For right Δ with right, prove the following. sin < Right Δ with right is given with sin = () Sine is the of right tringle, it is lwys the (2) tht mkes sin (3) tht is, less thn. () (2) longest side.. smllest side.... (3) proper frtion, improper frtion, 5/0

6 0/3/206 Print Questions 9. Verify tht the eqution is n identity. Use the given tringle to write the trigonometri rtio, nd then show tht eh expression on the left simplifies to. ( sin ) 2 ( os ) 2 = Use two olumn proof. Sttements. ( sin ) 2 ( os ) 2. Expression on the left = () = (2) = (3) = (4) 5. Use (5) 6. = 5. Simplify. 2. Use trigonometri rtios. 3. Use the lw of exponents. 4. Write s one rtionl expression. Resons () 2 2 (2) 2 2 (3) 2 2 (4) ( ) 2 (5) the trigonometri rtios. the distriutive property. the Pythgoren Theorem. 20. The sine, osine, nd tngent rtios eh hve reiprol rtio. The reiprol rtios re osent ( s), sent ( se), nd otngent ( ot). Use Δ nd the definitions elow to write the rtio s s X = se X = os X ot X = tn X 24 s = (Type n integer or simplified frtion.) 6/0

7 0/3/206 Print Questions 2. The sine, osine, nd tngent rtios eh hve reiprol rtio. The reiprol rtios re osent ( s), sent ( se), nd otngent ( ot). Use Δ nd the definitions elow to write the rtio ot. 25 s X = se X = ot X = os X tn X ot = (Type n integer or simplified frtion.) The sine, osine, nd tngent rtios eh hve reiprol rtio. The reiprol rtios re osent ( s), sent ( se), nd otngent ( ot). Use Δ nd the definitions elow to write the rtio se s X = se X = os X ot X = tn X 36 se = (Type n integer or simplified frtion.) 7/0