Which of the following are true? Select all that apply. O A. tan 8= cos e sin 8 O B. cot 8 = cose sin a O C. sec 8 = sin & O D. csc 8 = - 1 cosa O E. tan a sec 8 = sin aJulia wants to simplify the term that apply. 3 II A. B. n29+c0529=1 sec's- Ian'sl \"'39:; cos 9 018- c ms l: =ch 9 not2 8 3599-] 90159\" in a trigonometric identity that she is proving. Which of the following identities should she use to help her? Select all Sammy wrote the following proof. What did he do wrong? cos tan2 8 = cos2 0(sec2 8-1) cos? tan2 0 = cos2 0 sec2 0-cos2 9 costan2 8 = cos2 8- cos2 0 sing costan2 8 = cot2 0- cos2 0 O A. He assumed tan & = sin a but tan a- cos a cos & sin & O B. He assumed sece = - 1 but sec 8 = sin a cosa O C. He assumed cos2 8 ( sec2 8-1) = cos2 8 sec2 8-cos28, but cos? ( sec? 8-1) = cos? @sec2 8-1. O D. He assumed cosa = cot 8, but costa = tan-9. sina singAlbert wants to show that tan 9 sin 6 + cos 6 = sec 6. He writes the following proof: tan 95in 9+cost9= sec9 31119 sin 9+cos9= sec9 cos 9 sin2 9 +cos 9 = sec 9 cost? What is the next step in this proof? A- He should write tans- dig to nd a common denominator. cos 0 2 O 8' He should write c059: \"'3 9 to nd a common denominator. cos 9 O C. He should write cogentsine to convert all the terms to sine. O D. He should write sine- l c056 to convert all the terms to cosine. How can Jamie rewrite the expression so that the fraction has .3052 g in the denominator? 1-s1n6 O A. She can multiply the numerator and denominator by cos 9. O B. She can multiply the numerator and denominator by tan 9. O C. She can multiply the numerator and denominator by l-cosa. O D. She can multiply the numerator and denominator by 1 + sin 9. \ftan * + tan *2 + tan *3 -tan x] tan X2 tan X3 To verify the identity tan ( x, + x2 + X3) : , what should you do first? 1- tan x, tan *2 - tan X2 tan X3 - tan x] tan X3 O A. tan ( x + x2 + X3) = tan * + tan x2 + tan X3 1+ tan x tan X2 tan X3 O B. tan x] - tan (X2 + X3) tan ( x + x2 + X3) = 1+ tan x, tan (X2 + X3) O C. tan ( x1 + X2 + X3)= tan x, + tan , + tan X3 1 - tan x, tan x, tan X3 O D. tan x + tan ( x2 + x3 ) tan ( * + X2 + X3 ) = 1- tan x tan (X2 + X3)cos 3x Which of the following expressions is equivalent to ? sin x cos x O A. csexcos 2x - secx sin 2x O B. secxcos2x - csex sin 2x O C. secxcosx - CSCx sinx O D. cscrcosx - sec x sin xAs a pendulum swings. the angle 6 that it makes with the vertical changes through its swing. The force of gravity pulling on the bob is given by F = my sin 6, where g is equal to 93 91:52. It the mass of the pendulum is 0.01 kg. what is the force pulling on the pendulum when it makes a 225 angle with the vertical? 0 A. 1245 N 3 O 3' numb.5 N O C, 2-?\" O D. alkali-g N Amir wants to show that tan 39_ Stand-tan . He says he should use the double-angle formula for the tangent function to do this. Is he correct? 1 - 3tan e O A. Yes. He can write tan 30 = tan 2 NI and use the double-angle formula. O B. Yes. He can write tan 30- tan (20+ @) and use the sum formula followed by the double-angle formula. O C. No. Because 3 is not a multiple of 2, he will have a -8 term that cannot be simplified. 2 O D. No. Because tan 20 = 2 tan 8 there is no way to multiply the denominator by 3 to obtain 1 - 3tan 8. 1-tan eLook at the proof showing sin* x = 3-4 cos2x + cos4x 8 . Which expression will complete the fourth step of the proof? sin* x = sin x) sin* X = 1- cos2x 2 sin* X = 1- 2cos 2x+ cos- 2x sin* X = sin* x = 2-4 cos2x+1+ cos4x 8 sin* x = 3-4 cos2x+ Cos4x 8 O A. 1- 2cos 2x+ 1+ cos4x 2 4 O B. 1- 2cos 2x+1+cos 4x 4 O C. 1-2cos 2x+ 1+ cos 2x 2 4