Question

tan 9°=cos36°- sin36°/cos36° + sin 36°?? please give me answer​

Answer 1

Answer:

Here is your answer...

Step-by-step explanation:

we have

(cos x - sin x)/( cos x + sin x)

= (1- sin x/ cos x)/(1+ sin x/ cos x)

= (1- tan x)/ ( 1+ tan x)

= tan (45-x) as tan (45-x) = (tan 45 - tan x)/((1+ tan 45 tan x) = (1- tan x)/(1+ tan x)

putting x = 36 we get

(cos36-sin36)/(cos36+sin36)

= tan (45-36)

= tan 9 = tan (180+9) = tan 189

proved

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Answer 2

Answer:

above answer is correct ☺☺