Question

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

Answer 1

Answer:

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Step-by-step explanation:

Given:

and

Taking reciprocals

and

±

since lies in II quadrant, is negative

Now,

This implies,

since is positive, lies in either I quadrant or III quadrant.

As per data,

lies in I quadrant