Question

If cos B 12 1 sinB such that B is not in third quadrant, then find the value of 13 cosB(cotB+cosecB) Si 2 coe​

Answer 1

Answer:

-1/3

Step-by-step explanation:

Consider the given equation.

tanB+sinA4sinB−3tanA  …... (1)

and cosA=cosB=−21

Now,

cosA=−21

⇒cosA=−cos600               when A does not lie in the second quadrant.

⇒cosA=cos(1800+600)

⇒cosA=cos2400

⇒A=2400 

Now,

cosB=−21

⇒cosB=−cos600             when B does not lie in the third quadrant.

⇒cosB=cos(1800−600)

⇒cosB=cos1200

⇒B=1200

Substituting the value of A  and  B in equation (1) and we get,

tan1200+sin24004sin1200−3tan2400