If secant theta + tan theta is equals to p then find the value of cose

1.	If secant theta + tan theta is equals to p then find the value of cosecant
Answer» Sec + tan = p......(1)Sec ^2-tan^2 =1(Sec-tan)(sec +tan)=1(Sec-tan)(p)=1Sec-tan =1/p......(2)Adding (1) and (2)Sec+tan+sec-tan =p+1÷p 2sec = p^2+1/p .......(3)Subtract (2)from (1)Sec+tan-sec+tan=p-1/p2tan=p^2-1÷p ......(4)Divide (3)and(4)2sec÷2tan =p^2+1÷p÷p^2-1÷p 1/sin=p^2+1/p^2-1 Cosec = p^2-1÷p^2+1

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