3.-11 points LarPCalcl 0 53.01 7.0/20 Submissions Used Solve the equation. (Ente

Question

3.-11 points LarPCalcl 0 53.01 7.0/20 Submissions Used Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) 100 co-2x-25 = 0 4·0-1 points LaF PCalc10 53025 020 Submissions Used i Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) 2 cos2(x) + cosm) -1 -0 5. 1 points LaPCalc10 54029. 0/20 Submissions Used Write the expression as the sine, cosine, or tangent of an angle. sin 60° cos 50 + cos 60o sin C

Explanation / Answer

3)

100cos2x -25=0

=>100cos2x =25

=> cos2x =25/100

=> cos2x =1/4

=> cosx =±1/2

=>x =n-(/3) ,n+(/3) , where n is an integer

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4)

2cos2x+ cosx -1=0

=>2cos2x+ 2cosx -cosx -1=0

=>2cosx(cosx+1) -1(cosx +1)=0

=>(cosx +1)(2cosx -1) =0

=>cosx =-1 , cosx =1/2

=>x=2n -,2n+ , x= 2n -(/3),2n +(/3)

=>x=2n -,2n -(/3),2n +(/3),2n+ , n is an integer

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5)

sinAcosB+ cosAsinB= sin(A+B)

sin60ocos5o+ cos60osin5o= sin(60o+5o)

=>sin60ocos5o+ cos60osin5o= sin65o

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