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Given that sin(3pi/10)= 0.8090 and cos(3pi/10)= 0.5878 find the values of tan cosec,...

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vardhman1996 | Student, Grade 10 | Honors

Posted August 31, 2011 at 11:37 PM via web

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Given that sin(3pi/10)= 0.8090 and cos(3pi/10)= 0.5878 find the values of tan cosec, cot & sec of 3pi/10

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 31, 2011 at 11:54 PM (Answer #1)

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It is given that sin(3pi/10)= 0.8090 and cos(3pi/10)= 0.5878.

tan(3pi/10) = sin(3pi/10)/cos(3pi/10) = 0.8090/0.5878 = 1.3763

cot(3pi/10) = cos(3pi/10)/sin(3pi/10) = 0.5878/0.8090 = 0.7265

sec(3pi/10) = 1/cos(3pi/10) = 1/0.5878 = 1.701

cosec(3pi/10) = 1/sin(3pi/10) = 1/0.8090 = 1.809

The required values are: tan(3pi/10) = 1.3763, cot(3pi/10)= 0.7265, sec(3pi/10) = 1.701 and cosec(3pi/10)=1.809

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