Prove that: ( Cosec Θ - sin Θ) ( sec Θ - cos Θ) (tan Θ + cot Θ) = 1 



Here, the first thing we did was we changed the all given terms into sin and cos.

I.e.
Cosec x = 1/ sin x
Sec x = 1/ cos x
Tan x= sin x/ cos x
Cot x= cos x/ sin x

And then we applied the LCM and tried to get everything in multiple form by eliminating the + or - signs which we changed using Trigonometric identity.


1 - sin^2 x = cos^2 x
1 - cos^2 x = sin^2 X

Then we had every thing in multiple forms and the numerator and denominator are equal. It means we get 1 while dividing the equal terms so our answer is 1 which is equal to the RHS.

Hence, we proved the Trigonometric identity of Trigonometry in mathematics.

#SciPiTutor
#TrigonometricIdentities
#Trigonometry
#Mathematics