prove that sin 34/sin 56 +cos 34/ cos 56 =sec34 . cosec 34.
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0.656+0.487=-1.17×-0.85
0.319=0.1445
0.1
0.319=0.1445
0.1
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use,
sin(34) = sin(90-56) = cos(56)
similarly,. cos(34) = cos(90-56)= sin(56)
now put the above obtained values of numerater in question.
cos(56)/sin(56) + sin(56)/cos(56)
now take LCM,
=cos^2(56)+sin^2(56)/sin(56)cos(56)
=1/sin(56)cos(56)
= 1/cos(34)sin(34). sin(56)=sin(90-34)=cos(34)
= sec34 . cosec 34
sin(34) = sin(90-56) = cos(56)
similarly,. cos(34) = cos(90-56)= sin(56)
now put the above obtained values of numerater in question.
cos(56)/sin(56) + sin(56)/cos(56)
now take LCM,
=cos^2(56)+sin^2(56)/sin(56)cos(56)
=1/sin(56)cos(56)
= 1/cos(34)sin(34). sin(56)=sin(90-34)=cos(34)
= sec34 . cosec 34
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