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**leibnitz** It is easy to simplify by using this SOH CAH TOA,wre S=Sine,O=Opposite,C=cosine,A=Adjacent,H=Hypotenous and T=Tangent.....also with SOH CAH TOA we can derive the formula of the head word i.e S,C,T .SINE=O/H,COSINE=A/H and TANGENT=O/A............SO for secant,cosecant and cot, we use this SHO CHA TAO, wre S=H/O Called "cosecant" i.e reciprocal of SINE..C=H/A Called "secant" i.e reciprocal of COSINE and COT=A/O Called "Cotangent" i.e reciprocal of TANGENT....GOOD LUCK BROTHER