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Simplify the following expression:
[tex]\[ (1-\tan \beta)(1+\tan \beta)(1+\tan^2 \beta) \][/tex]

Sagot :

MathPhysidn

Answer:

1 − tan⁴ β

Step-by-step explanation:

Distribute using FOIL (first, outer, inner, last), or by using difference of squares identity:

(a − b) (a + b) = a² − b²

[tex](1-\tan \beta) (1+\tan \beta) (1+\tan ^2\beta)\\(1-\tan ^2\beta) (1+\tan ^2\beta)\\1-\tan ^4\beta[/tex]

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