(sin30/1+cos30) + (1+cos30/sin30) \sin(30 )/ 1 + \cos(30 ) + (1 + \cos(30 ) / \sin(30) ​

Question

(sin30/1+cos30) + (1+cos30/sin30)


`\sin(30 )/ 1 + \cos(30 ) + (1 + \cos(30 ) / \sin(30)`

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Answer 1

4

Explanation:

`(sin 30)/(1+cos 30) +(1+cos 30)/(sin 30) \\=(sin 30(1-cos30))/((1+cos30)(1-cos30)) +(1+cos30)/(sin 30) \\=(sin30(1-cos30))/(1-cos^230 ) +(1+cos30)/(sin 30) \\=(sin 30(1-cos30))/(sin^2 30) +(1+cos30)/(sin30) \\=(1-cos30)/(sin30 ) +(1+cos30)/(sin30) \\=(1-cos30+1+cos 30)/(sin 30) \\=(2)/(sin 30) \\=(2)/((1)/(2) ) \\=4`

Answer 2

1

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