If tan theta= 12/5 then find (sin theta), ( cos theta), (cot theta) and (sin theta+ cos theta)
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If tan theta= 12/5 then find (sin theta), ( cos theta), (cot theta) and (sin theta+ cos theta)
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Step-by-step explanation:
given tan theta=12/5
using paithogoras theorem
k²=L²+A² We know that. tan theta=L/A
now L/A=12/5 then k=?
k²=12²+5²
k=√144+25=√169
k=13
so the value is
sin theta=L/K=12/13
cos theta=A/k=5/13
cot theta=A/L=5/12
&
(sin thea+cos theta)=12/13+5/13
=12+5/13=17/13