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SHORT ANSWER. Write the werd ar MULTIPLE CHOICE, Choose the one altermative that

ID: 2913120 • Letter: S

Question

SHORT ANSWER. Write the werd ar MULTIPLE CHOICE, Choose the one altermative that best completes the stasement or anwers the g Use a halt-angle formala to find the exact value of the expressien Use the siven information to find the exact valee of the trigonometric function 153 15)sino÷ ones in quadrant l Find an Express the product as a sum or difference 16) sin ix cos 3x B) (sin 9x + cis 3x) C) sin (cos Tx2) statement or answers the question HORT ANSWER. Write the word or phrase that best completes each ind all solutions of the equation. 17) 1) 2 cosx3

Explanation / Answer

13) cos theta = 15/17

sin theta = - 8/17

sin 2 tehta = 2 sin theta cos theta

= 2 ( -8/17 ) ( 15/17 )

= -240/289

15) sin theta = 1/4

cos theta = sqrt 15 / 4

sin tehta /2 = sqrt ( 1 - cos theta ) / 2

= sqrt ( 1 - sqrt 15 / 4 ) / 2

= sqrt ( 4 - sqrt 15 ) / 4

= sqrt [ 8 - sqrt 15 ] / 4

option c is correct

16) sin 6x cos 3x

applying product to sum formula

sin a cos b = 1/2 [sin ( a + b ) + sin (a - b ) ]

= 1/2 [ sin 9x + sin 3x ]

option d is correct

17) 2 cos x + sqrt 3 = 0

2 cos x = - sqrt 3

cos x = - sqrt 3/2

x = 5pi/6 + 2 npi , 7pi/6 + 2 npi