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Find all angles, 0, degrees, is less than or equal to, B, is less than, 360, degrees0 ∘ ≤B<360 ∘ , that satisfy the equation below, to the nearest tenth of a degree (if necessary).9, sine, B, plus, 14, equals, sine, B, plus, 89sinB+14=sinB+8

Question

Find all angles, 0, degrees, is less than or equal to, B, is less than, 360, degrees0 ∘ ≤B<360 ∘ , that satisfy the equation below, to the nearest tenth of a degree (if necessary).9, sine, B, plus, 14, equals, sine, B, plus, 89sinB+14=sinB+8

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Solution

The given equation is sinB + 14 = sinB + 8.

To solve for B, we first subtract sinB from both sides of the equation:

14 = 8

This equation is not possible, which means there are no angles B that satisfy the original equation.

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