2sin A /cos 3A + 2sin3A / cos 9A + 2 sin9A / cos27A = tan27A - tanA

answer:

2 sin A / cos 3A + 2 sin 3A / cos 9A + 2 sin 9A / cos 27A = tan 27A - tan A

2 sin A/cos 3A

Multiply with cos A to Numerator and denominator

= 2 sin A cos A/cos 3A cos A 

Formula (sin 2A = 2 sin A cos A)

= sin 2A / cos 3A cos A 

Formula [ (sin a-b) / cos a cos b = tan a - tan b ]

So, 

= sin 3A - A / cos 3A cos A

= tan 3A - tan A> Equation 1

Apply same procedure we get

2 sin3A / cos 9A = tan 9A - tan 3A---> Equation 2

2 sin 9A / cos 27A = tan 27A - tan 9A> Equation 3

Add Equation 1,2 and 3

tan 3A - tan A + tan 9A - tan 3A + tan 27A - tan 9A = tan 27A - tan A

2 sin A / cos 3A + 2 sin 3A / cos 9A + 2 sin 9A / cos 27A = tan 27A - tan A

Hence it has proven.

Plz mark brainliest

Step-by-step explanation:

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .