If x+y+z=π and cosx cosy= cosz then tanx tany is equal to?​

Question

If x+y+z=π and cosx cosy= cosz then tanx tany is equal to?​

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Caroline 1 month 2021-08-14T02:26:06+00:00 1 Answer 0 views 0

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    2021-08-14T02:27:27+00:00

    Step-by-step explanation:

    tan x=18/tan y…….(1)

    Replace z=180-(x+Y) in the second equation and we ge

    tan y.tan (180 – (x+y))=2

    tan y.tan (x+y) = -2

    tan y. (tan x + tan y)/1-tan x.tan y = -2

    (tan y.tan x + tan^2 y)/(1-tan x.tan y) = -2

    Let tan y = p

    18 + p^2=-2(1-18)

    p^2=34-18

    p=+-4

    Thus tan y = 4 assuming x,y,z are angles of a triangle

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