Evaluate the value of A if tan 39/cot51+sin39/cos51=cosecA

Dear Student,

Given :tan 39°cot 51°+sin 39°cos51°=cosec Atan90-51°cot 51°+sin90-51°cos51°=cosec Acot 51°cot 51°+cos 51°cos51°=cosec A1+1=cosec A2 =cosec Acosec 30°=cosec AHence A=30°

Regards

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cosecA= tan (90- 51)°/cot51° + sin(90-51)°/cos51°

cpsecA = cot51°/cot51°+ cos51°/cos51°

cosecA = 1 + 1 = 2 , cosecA = cosec 30°

A = 30°

2Sin30° + 4cos^2 30° - 5cosec30° + 2cot^2 30°

= 1 + 3 - 10 + 6 = 0

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