csc left(arctan left(frac{6}{3}right)right)

Question

Accepted Answer

Step:1 ：First, we need to find the arctangent of (frac{6}{3}), which is the angle whose tangent is (frac{6}{3}).Step:2 ：Using a calculator, we find that the arctangent of (frac{6}{3}) is approximately 1.1071487177940904.Step:3 ：Next, we need to find the sine of this angle. Using a calculator, we find that the sine of 1.1071487177940904 is approximately 0.8944271909999159.Step:4 ：Finally, we need to find the reciprocal of this sine value, which is the cosecant of the angle. The reciprocal of 0.8944271909999159 is approximately 1.118033988749895.Step:5 ：So, the cosecant of the arctangent of (frac{6}{3}) is approximately (boxed{1.118033988749895}).

Answer

Step: 1 ：First, we need to find the arctangent of (frac{6}{3}), which is the angle whose tangent is (frac{6}{3}).Step: 2 ：Using a calculator, we find that the arctangent of (frac{6}{3}) is approximately 1.1071487177940904.Step: 3 ：Next, we need to find the sine of this angle. Using a calculator, we find that the sine of 1.1071487177940904 is approximately 0.8944271909999159.Step: 4 ：Finally, we need to find the reciprocal of this sine value, which is the cosecant of the angle. The reciprocal of 0.8944271909999159 is approximately 1.118033988749895.Step: 5 ：So, the cosecant of the arctangent of (frac{6}{3}) is approximately (boxed{1.118033988749895}).

$\csc (\arctan (\frac{6}{3}))$

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$\csc (\arctan (\frac{6}{3}))$