Hank G.

asked • 11/16/20

sin[cot^-1 (4/3)+sin^-1 (-5/13)]

Evaluate using Principal Values. Please show *all* work so I know what I'm doing. Thank You.

Hank G.

Answers in fraction form would be great, thank you! (That's what we use.)
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11/16/20

Hank G.

Answers in fraction form would be great, thank you!
Report

11/16/20

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Inactive Tutor answered • 11/16/20

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Inactive Tutor answered • 11/16/20

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sin[cot-1(4/3) + sin-1(-5/13)] given


a) find the angles

cot-1 (4/3) = 1 / tan-1 (4/3) = 1 / 0.9273 = 1.0784 cotangent = 1/tangent

sin-1 (-5/13) = -0.3948


b) add the angles

sin[1.0784 + (-0.3948)] = sin[0.6836]


c) evaluate

sin[0.6836] = 0.6316

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Hank G.

Answers in fraction form would be great, (That's what we use.) thank you!
Report

11/16/20

Inactive Tutor

You will need to use radians as a multiple of pi
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11/16/20

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