Question

find the common logarithm of the product of all the six trigonometric ratios of any acute angle ​

Answer 1

consider a triangle ∆ABC where

p= perpendicular , b=base and, h= hypotenuse

and we know that an acute angle have less than 90° and let angle A as an acute angle

so we can take A, B, C side where A to B base and B to C be perpendicular and C to A be hypotenuse so

here we can write

SinA = p/h

CosA=b/h

tanA=p/b

cosecA=h/p

secA=h/b.

cotA=p/b