Evaluate: sin 70/ cos 20 + cosec36/ sec54 - 2cos43 cosec47/ tan10xtan40xtan50xtan80
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2 (1-sin43*cos43)
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=sin70/cos20 + cosec36/sec54 - 2cos43.cosec47/tan10.tan40.tan50.tan80
=sin70/cos(90-70) + cosec36/sec(90-36) - 2cos43.cosec(90-43) /tan10.tan40.tan(90-40).tan(90-10)
=sin70/sin70 + cosec36/cosec36 - 2cos43.sec43/tan10.tan40.cot40.tan10
=1+ 1 - 2
(identities used:sinФ = cos(90-Ф)
cosecФ = sec(90-Ф)
cotФ = tan(90-Ф)
cosФ.secФ = 1
tanФ.cotФ = 1 )
:) Hope this helps!!!!!
=sin70/cos(90-70) + cosec36/sec(90-36) - 2cos43.cosec(90-43) /tan10.tan40.tan(90-40).tan(90-10)
=sin70/sin70 + cosec36/cosec36 - 2cos43.sec43/tan10.tan40.cot40.tan10
=1+ 1 - 2
(identities used:sinФ = cos(90-Ф)
cosecФ = sec(90-Ф)
cotФ = tan(90-Ф)
cosФ.secФ = 1
tanФ.cotФ = 1 )
:) Hope this helps!!!!!
Thank you so much!
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