Question

2. If tan A = 4/3, find the other trigonometric ratios of angle C.​

Answer 1

Step-by-step explanation:

let angle B= π/2 => angle C= π/2 - angleA

generally => C= ( π/2- A)

tan A= 4/3=> tanC = tan ( π/2-A).

= cotA= 1/tanA= 3/4

thus ratio of perpendicular: base: hypotenus

P : B. : H

3. : 4. :. 5=>√ (3²+4²

sin C= P/ H= 3/5

cos C= B/H= 4/5

tan C= P/B= 3/4

cot C= B/P= 4/3

sec C= H/B= 5/4

cosec C= H/P= 5/3