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  • The value of <img alt="\frac{\sin37^{\circ}}{\cos53^{\circ}}+\frac{\cos53^{\circ}}{\sin37^{\circ}}" src="http://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7B%5Csin37%5E%7B%5Ccirc%7D%

The value of \frac{\sin37^{\circ}}{\cos53^{\circ}}+\frac{\cos53^{\circ}}{\sin37^{\circ}} is

Option: 1

25/12


Option: 2

2


Option: 3

0


Option: 4

7/5


Answers (1)

best_answer

Allied Angles (Part 1)

  • sin (900 - θ) = cos (θ)

  • cos (900 - θ) = sin (θ)

 

Now,

\\=\frac{\sin37^{\circ}}{\cos53^{\circ}}+\frac{\cos53^{\circ}}{\sin37^{\circ}}\\ \\=\frac{\sin(90-53)^{\circ}}{\cos53^{\circ}}+\frac{\cos(90-37)^{\circ}}{\sin37^{\circ}}\\\\ =\frac{\cos53^{\circ}}{\cos53^{\circ}}+\frac{\sin37^{\circ}}{\sin37^{\circ}}\\\\ =2

Posted by

himanshu.meshram

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