Math, asked by mhrishik2002, 10 months ago

If tan x=√5/2, then the possible value of cos x is

Answers

Answered by Thoroddinson
12

Answer:

4/9

Step-by-step explanation:

As tanx=sinx/cosx=((5)^1/2)/2

2sinx=((5)^1/2)cosx ....1

(sinx)^2 +(cosx)^2 =1 ......2

Put cosx= 2/(5)^1/2 sinx from 1

(Sinx)^2 +(4/5)(sinx)^2=1

By taking lcm and cross multiplying we get

9(sinx)^2 =5

(sinx)^2=5/9

Put in 2

(sinx)^2 + (cosx)^2=1

5/9 + (cosx)^2 =1

1-5/9= (cosx)^2

4/9 = (cosx)^2

cosx=2/3

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