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Which expression is equivalent to Tangent (StartFraction 3 pi Over 4 EndFraction minus 2 x)?

StartFraction negative 1 minus tangent (2 x) Over 1 minus (negative 1) (tangent (2 x) ) EndFraction
StartFraction negative 1 minus tangent (2 x) Over 1 + (negative 1) (tangent (2 x) ) EndFraction
StartFraction 1 minus tangent (2 x) Over 1 + (1) (tangent (2 x) ) EndFraction
StartFraction 1 + tangent (2 x) Over 1 minus (1) (tangent (2 x) ) EndFraction

Respuesta :

Answer:

B -1-tan(2x)/1+(-1)(tan(2x))

Step-by-step explanation:

Edge 2020

the original expression listed in the question can be simplified to -1+tan(2x)/1-tan(2x). expression B can also be simplified to -1+tan(2x)/1-tan(2x)

The expression equivalent to tan(3π/4 -2x) is  -1-tan(2x)/1+(-1)(tan(2x))

What is tangent?

It is the trigonometric identity.

Using the trigonometric formula , tan (A-B) = tanA - tanB/ (1+tanA tanB )

tan(3π/4 -2x) = tan(3π/4) - tan2x / 1+ tan(3π/4)tan2x

tan(3π/4 -2x) = -1-tan(2x)/1+(-1)(tan(2x))

Thus, the expression equivalent to tan(3π/4 -2x) is  -1-tan(2x)/1+(-1)(tan(2x))

Learn more about  tangent.

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