यदि 4 ८59 व. 35. से | 4 500 6. €त5 9 1.45in+cosB—

1.	यदि 4 ८59 व. 35. से \| 4 500 6. €त5 9 1.45in+cosB—
Answer» Let theta = xThen,tan x = 3/4 = P/B Using pythagoras theoram H^2 = P^2 + B^2 H^2 = 33 + 44H^2 = 9 + 16H^2 = 25H = 5 sin x = P/H = 3/5cos x = B/H = 4/5 Thus,(4sin x - cosx + 1)/(4sin x + cosx - 1) = (43/5 - 4/5 + 1)/ (43/5 + 4/5 - 1) = (12/5 - 4/5 +1)/ (12/5 + 4/5 - 1) = [(12 - 4 + 5)/5]/ [(12 + 4 - 5)/5] = (13/5)/(11/5) = 13/11

Answer»

Let theta = xThen,tan x = 3/4 = P/B

Using pythagoras theoram H^2 = P^2 + B^2 H^2 = 3*3 + 4*4H^2 = 9 + 16H^2 = 25H = 5

sin x = P/H = 3/5cos x = B/H = 4/5

Thus,(4sin x - cosx + 1)/(4sin x + cosx - 1)

= (4*3/5 - 4/5 + 1)/ (4*3/5 + 4/5 - 1)

= (12/5 - 4/5 +1)/ (12/5 + 4/5 - 1)

= [(12 - 4 + 5)/5]/ [(12 + 4 - 5)/5]

= (13/5)/(11/5)

= 13/11

Discussion