SOLUTION: prove that tan t = sin 2t/1 + cos 2t and hence obtain the value of tan 15 and 45 and express the result in standard form

SOLUTION: prove that tan t = sin 2t/1 + cos 2t and hence obtain the value of tan 15 and 45 and express the result in standard form

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Question 977115: prove that tan t = sin 2t/1 + cos 2t and hence obtain the value of tan 15 and 45 and express the result in standard form
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
LHS=

= [Multiplying Num. and Den. by 2*cos(t)]
=
=
=RHS
Hence,
tan15 = sin30/(1+cos30)
=
=
Also,
tan45 = sin90/(1+cos90)
=
= 1
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