Question

how to find the value of cos 5.37 radians give stepwise answer ( calculator se to mujhe bhi karna aata Hai :)

Answer 1

For Cos(5.37) radian first we will get Sin(5.37) radian

So

=> sin(5.37) = -0.79154

=> sin(5.37) radian = -0.79154

The sin of 5.37 radian is -0.79154 the same as sin of 5.37 degree .
To change 5.37 radian to degree multiply 180/pi = 307.67834 degree .

=> sin(5.37) radian = -0.79154

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NOW

TRIGONOMETRIC IDENTITY :-

$= > {sin}^{2} \alpha + {cos}^{2} \alpha = 1 \\ \\ so \\ \\ = > {sin}^{2} 5.37(radian) + {cos}^{2} 5.37 (radian) = 1 \\ \\ = > {cos}^{2} 5.37(radian) = 1 - {sin}^{2} 5.37(radian) \\ \\ = > cos5.37(radian) = \sqrt{1 - {sin}^{2}5.37(radian) } \\ \\ = > cos5.37(radian) = \sqrt{1 - {( - 0.79145)}^{2} } \\ \\ = > cos5.37(radian) = \sqrt{1 - {(0.79145)}^{2} }$
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