Question Number 148987 by mathdanisur last updated on 02/Aug/21

if tg(0,5x) = −2 find ((sin(x) + 2)/(cos(x) - 3)) = ?

Answered by EDWIN88 last updated on 02/Aug/21

tan ((1/2)x)=−2 → { (((1/2)x in 2^(nd) quadrant)),(((1/2)x in 4^(th) quadrant)) :} ⇒((sin x+2)/(cos x−3)) = ((2sin (1/2)x cos (1/2)x+2)/(2cos ^2 (1/2)x−4)) = ((2((2/( (√5))))(−(1/( (√5))))+2)/(2(−(1/( (√5))))^2 −4)) =(((−4+10)/5)/((2−20)/5)) = (6/(−18))=−(1/3)

Commented bymathdanisur last updated on 02/Aug/21

Thankyou Ser