Question

derivation of trigonometric ratios of 0 and 90

Answer 1

first consider a triangle ABC and let B=90

now assume A=x...then C becomes (90-x)[since angle sum property]


now find all trigonometric ratios of x...and also for 90-x


tyen u can observe that


sin x=(cos 90-x)

cos x=sin (90-x)

tan x =cot (90-x)

cosec x=sec(90-x)


sec x=cosec(90-x)


cot x=tan(90-x)