Sunday, May 5, 2013

Find the value of the 6 trigonometric functions of the angle θ with opposite side of length b= 15 and hypotenuse of length c= 30

The adjacent side is... 

adj=sqrt%2830%5E2-15%5E2%29=15%2Asqrt%283%29 


sin%28theta%29=opp%2Fhyp=15%2F30=1%2F2 

csc%28theta%29=1%2Fsin%28theta%29=2 

cos%28theta%29=adj%2Fhyp=%2815%2Asqrt%283%29%29%2F30=sqrt%283%29%2F2 

sec%28theta%29=1%2Fcos%28theta%29=2%2Fsqrt%283%29=%282sqrt%283%29%29%2F3 


tan%28theta%29=opp%2Fadj=15%2F%2815%2Asqrt%283%29%29=sqrt%283%29%2F3 

cot%28theta%29=1%2Ftan%28theta%29=sqrt%283%29
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