Question

write all the trigonometric ratios of angle A in terms of
TanA step by step​

Answer 1

Answer:

$\huge\underline\mathfrak\color{blue}Question..$

write all the trigonometric ratios of angle A in terms of

TanA step by step

$\huge\underline\mathfrak\color{Red}Answer.$

Suppose theta = x.

Let tan x= k or. k/1.

Construct a right angled triangle ABC , in which angle B =90°, angle ACB = x and

perpendicular AB= k units , and base BC=1 units.

AC^2= BC^2 + AB^2.

AC^2= (1)^2+(k)^2.

or. Hypotenuse AC= √(1+k^2).

sin x= AB/AC = k/√(1+k^2) = tan x/√(1+tan^2 x)………………….(1).

cos x= BC/AC = 1/√(1+k^2) = 1/√(1+ tan ^2 x)…………………….(2).

cot x= BC/AB= 1/k = 1/tan x………………………..(3).

sec x= AC/BC= √(1+k^2)/1. = √(1+tan^2 x)…………….(4).

cosec x= AC/AB = √(1+k^2)/k = √(1+tan^2 x)/tan x………………(5). Answer