Prove the Identity $$\tan \left( x - \frac { \pi } { 4 } \right) = \frac { \tan x - 1 } { 1 + \tan x }$$

question 180

Essay

Prove the identity.
- $$\tan \left( x - \frac { \pi } { 4 } \right) = \frac { \tan x - 1 } { 1 + \tan x }$$

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Definitions:

Dred Scott v. Sandford

A landmark Supreme Court case in 1857 which held that African Americans, whether enslaved or free, could not be American citizens and therefore had no standing to sue in federal court.

Supreme Court Decision

A ruling made by the Supreme Court, the highest judicial body in a country, often setting a legal precedent.

Fourteenth Amendment

was adopted in 1868 as one of the Reconstruction Amendments, granting citizenship and equal civil and legal rights to African Americans and slaves who had been emancipated.