Hank G.
asked 11/16/20sin[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.
2 Answers By Expert Tutors

Doug C. answered 11/16/20
Math Tutor with Reputation to make difficult concepts understandable

Reinaldo G. answered 11/16/20
Experience teacher of Precalculus
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, thank you! (That's what we use.)11/16/20