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Step2247 [10]
3 years ago
7

find sin(alpha-beta) if sin alpha =-5/13 with alpha between pi and 3pi/2; cos beta=2/5 with beta between 3pi/2 and 2pi

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0
        sin(α) = ⁻⁵/₁₃
sin⁻¹[sin(α)] = sin⁻¹(⁻⁵/₁₃)
               α ≈ 1.1256π

          cos(β) = ²/₅
cos⁻¹[cos(β)] = cos⁻¹(²/₅)
                 β ≈ 1.6311π

sin(α - β) = sin(1.1256π - 1.6311π)
sin(α - β) = sin(-0.5055π)
sin(α - β) = -sin(0.5055π)
sin(α - β) = -sin(90.99)
sin(α - β) ≈ -0.116
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