vereinfachen (16+tan(x))(16-tan(x))+sec^2(x)

Lösung

vereinfachen

(16 + tan (x)) (16 - tan (x)) + sec^{2} (x)

257

Schritte zur Lösung

(16 + tan (x)) (16 - tan (x)) + sec^{2} (x)

Schreibe

(16 + tan (x)) (16 - tan (x))

um:

256 - tan^{2} (x)

= 256 - tan^{2} (x) + sec^{2} (x)

Verwende die Pythagoreische Identität:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - tan^{2} (x) = 1

= 256 + 1

Addiere die Zahlen:

256 + 1 = 257

= 257

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