Question

if (1+sin x/cos x)+(cos x/1+sin x)=4, find the value of x

Answer 1

hope this helps....

thanks : D✌✌✌✌

Answer 2

(1+sinx/cosx) + (cosx/(1+sinx))

= (1+sinx/cosx) + (cosx) (1-sinx) /(1-sin2x)

= (1+sinx/cosx) + (coax) (1-sinx) /(cos2x)

=(1+sinx/cosx) + (cosx-sinx*cosx)/cos2x

= (cosx + sinxcosx + cosx-sinxcosx) /cos2x

= (2cosx) /cos2x

= 2/cosx

hence ::

2/cosx = 4

2secx = 4

secx=2

then

sec(+-pi/3) = 2

and in the interval

0<= X <= 2pi

X = pi/3_____answer

X = 2pi - pi/3 = 5pi/3_______answer

hope it will help you