Question

If tan a =-2 find the value of other trigonometry function of a?

Answer 1

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Answer 2

Tan a=-2
=-2/1(opp/adj)
according to PYTHAGORAS
Hypo^2=-2^2+1^2
=4+1=5
Hypo=√5
Sin=opp/hypo=-2/√5=-2/√5*√5/√5
Sin a=-2√5/5
Cos a=1/√5=√5/5
Tan a =-2/1
Cot a =1/tan=1/-2
Sec a=1/ cos = 5/√5=5√5/5=√5
Cosec a = 1/sin=1/-2√5/5=5/-2√5=-10√5/4*5
=-10√5/20=-√5/2

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