If tan(A-B)=1/1.732 prove that cos(A+B)=1/2
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Tan (A - B) = 1 / 1.732
Sec² (A - B) = 1 + Tan² (A - B) = 1 + (1 /1.732)² = 4/3
Cos² (A - B) = 3/4
then Cos (A - B) = + √3 / 2 or - √3/2
Sin² (A - B) = 1 - Cos² (A - B) = 1 - 3/4 = 1/4
Sin (A - B) = +1/2 or - 1/2
we cannot find Cosine of A + B as we dont have values of A and B.. we are not given another equation or data to find that.
Sec² (A - B) = 1 + Tan² (A - B) = 1 + (1 /1.732)² = 4/3
Cos² (A - B) = 3/4
then Cos (A - B) = + √3 / 2 or - √3/2
Sin² (A - B) = 1 - Cos² (A - B) = 1 - 3/4 = 1/4
Sin (A - B) = +1/2 or - 1/2
we cannot find Cosine of A + B as we dont have values of A and B.. we are not given another equation or data to find that.
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