Prove that tan r+ cotx-2 cosec 21 and deduce that tan 75" + cot 75 -4.
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Step-by-step explanation:
tanx + cot × = 2 cosec 2×
L.H.S
sinx /cos+cosx/sinx
=sin2 × + cos2 × sinxcosx
=1/ sinxcosx
=1/(1/2) sin 2x
=/2 cosex 2x
=R.H.S
Now tan 75 degree + cot 75 degree = 2/ sin 150 degree =2 /cos 60 degree
=2(1/2)
=4
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