Question

Gf 3 tan theta=4 then cosec theta is?​

Answer 1

Answer:

$\boxed{\bf cosec\theta=\frac{5}{4} }$

Step-by-step explanation:

$given,\\ tan \ \theta = \frac{4}{3} \\\\ cosec \ \theta=? \\\\ we \ know,\\tan \theta=\frac{opp.side \ of angle}{adj.side \ of \ angle} = \frac{4}{3} \\\\ In \ a \ right \ angled \ triangle, \\ hypotenuse^2=side_1^2 \ +side_2^2 \\ hyp^2=4^2+3^2 \\hyp^2=16+9 \\hyp^2=25 \\ hyp = \sqrt{25} \\hyp = 5 \\\\ now, \\ cosec \theta=\frac{1}{sin \theta} = \frac{hypotenuse}{opp.side \ of \ angle} \\ \\ cosec\theta=\frac{5}{4}$