Question

in a triangle omp right angle om=5cm mp=12cm find all trignonmeyric ratios of angle mop

Answer 1

in the triangle omp
om=5cm
mp=12cm
op==13cm

sin=om/op=5/13
cos=mp/op=12/13
tan=om/mp=5/12
cot=mp/om=12/5
sec=op/mp=13/12
cosec=op/om13/5
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Answer 2

In right angled triangle OMP,
angle OMP=90°

By pythagoras theorem,
OM^2 +MP^2 = OP^2
5^2+12^2=OP^2
OP^2=25+144=169
OP=13

for angle OMP,
sin O=MP/OP=12/13
cos O=MO/OP=5/13
tan O=MP/OM=12/5