Question

prove that sin∅cos∅(tan∅+cos∅)=1

Answer 1

Answer:

the question is wrong. Please find the actual question below.

Step-by-step explanation:

This is the question given by you.

SinA*CosA(TanA+ CosA)

= SinA*CosA(SinA/CosA+ CosA)

= SinA*CosA(SinA+ CosA*CosA)/CosA

= SinA(SinA+CosA*CosA)

= SinA*SinA+ SinA* Cos A*CosA

The actual question is

Prove sin∅cos∅(tan∅+cot∅)=1

Solution:

sin∅cos∅(Sin∅/cos∅+cos∅/Sin∅)

=sin∅cos∅(Sin∅*Sin∅+cos∅*Cos∅)/sin∅cos∅

= 1

Since sin2 a+ Cos2 a = 1

Hence proved.

hope you are satisfied with the solution