Question

Help me prove trigonometry

Answer 1

[1] x = secA + tanA ------1

we know that sec^2 - tan^2 = 1 [identity]

hence, [secA+tanA] [secA-tanA] = 1

From 1, secA-tanA = 1/x

HENCE PROVED

[2] x = cosecA + cotA------1

we know that cosec^2-cot^2 = 1

thus, [cosecA-cotA] [cosecA+cotA] = 1

from 1, cosecA-cotA = 1/x

HENCE PROVED