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manu011

  • 3 years ago

find the solution set of the equation 3(sec x-1)= 5- sec x in the interval of 0< x<2 pi. A) pi/3 and 5pi/3 B) pi/6 and 11pi/6 C) pi/6 and 5pi/6 D) pi/3 and 2pi/3

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  1. manu011
    • 3 years ago
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    please helo

  2. love_math
    • 3 years ago
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    secx=2. cosx=1/2, x=pi/3 and 5pi/3

  3. GluttonousIntention09
    • 3 years ago
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    @alexwee123 you add the secx in your step 3. So 4secx=8 secx=2

  4. alexwee123
    • 3 years ago
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    oh lol sorry about that :/

  5. alexwee123
    • 3 years ago
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    3(sec x-1)= 5- sec x 3secx -3=5-secx 4secx=8 secx=2 cosx=1/2 cos^-1(cosx)=cos^-1(1/2) x=pi/3+pi(n) where n=integers because range is within 0< x<2 pi. the answers are x=pi/3, 5pi/3

  6. manu011
    • 3 years ago
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    thank you for your help

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