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Grade 11Trigonometry

find the value of tan(alpha+beta), given that cot alpha=1/2, alpha€(pi,3pie/2), sec beta=-5/3, beta€(pie/2,pie). Also state the quadrant in which alpha+beta terminates.

Profile image of Kashish
8 Years agoGrade 11
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1 Answer

Profile image of Meet
8 Years ago
cot theta is positive in 3rd quadrant and tan beta is neagtive in 2nd quadrant so therefore tan alpha=1/2 and tan beta=-4/3Then after putting values in the formula u will get tan(alpha+beta)=2/11