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Prove that tan 9^(@) - tan 27...

Updated On: 20-06-2022

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in the question we have to prove that tangent 9 degree minus 10 Jan 27 degree minus 10 63 degree + 10008 degrees equal to 4 OK first meet taking lhs so we get here and one more thing we know that tangent 90 - theta is equal to potita ok sunao put this mission in our this expression so what we get here we get here tangent 9 degree minus tangent 27 degree minus tangent 90 -

27 Plus tangent 90 - 9 ok so we get a tangent 9 degree minus 1027 degree minus 4 27 degree plus 4 9 degree ok so we are taking tangent night and coat 9 together then tangent 9 degree + 49 degree minus tangent 27 degree minus code 27 degree ok so hair pin no

tangent theta is equal to sin theta upon cos theta ok so we get here sign 9 degree upon cos 9 degree + cos theta is equal to cos theta by sin theta + cos 9 degree upon sin 9 degree minus sin 27 degree upon cos 27 degree Plus ko 27 degree ka phone sin 27 degree ok so now we

are taking LCM then we get here sign share 9 degree police cos square 9 degree upon sin 9 degree into cos 9 degree degree similarly for days then we get here sin squared 27 degree + Porsche 27 degree upon sin 27 degree into cos 20 7 degree ok Vinod

bed sin square you know that sign M2 Plus cos theta is equal to 1 ok Sona put this value so we get hair one bhai one upon sign 9 degree Pintu post 91 - 1 by sin 27 degree 27 degree if we multiply is 2 then we get mirror 2 upon to sign

9 degree cos 9 degree minus 2 upon 2 Sin 27 degree into cos 27 degree ok so where to sign a into cos A is equal to sin 2A which mean we get here 2 upon 2 upon sin 18 degree minus 2 upon sin 54 degree ok so we know the value of sin 80 degree is sin 80 degree is equal to route 5

+ 1 by 4 this is the value of sin 80 degree put this value ok hair so we get here ok so we get here 2 upon root 5 + 1 a phone for minor 2 upon sin 54 degree value is root 5 plus 1 indices mines van ok so this is -1 not Plus my mistake is -1 ok and also this is minus 9 plus ok so he

waited we get root 5 + 1 upon 4 so it was all this then we get there ek phone root price -1 - 1 upon root 5 one ok so there taking LCM so we get here root 5 minus 1 into root 5 + 1 upon 8 root 5 + 8 - 8 root price late this one is cancel out a 25825 is cancelled out ok so we get here

1 + 816 and root 5 minus 1 root 5 + 1 is the a minus b o a + b in the form of a minus b a + b so we get air 5 - 1 ok so it is equal to four that our answer we have to prove that the tangent 9 degree minus Tenzin 27 degree minus tension 23 degree + 10 cent 81 degrees equal to prove it
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