a/(sin(44))= 9/(sin(66))

Lösung

\frac{a}{sin ( 4 4 ^{\circ} )} = \frac{9}{sin ( 6 6 ^{\circ} )}

a = \frac{9 sin ( 4 4 ^{\circ} )}{sin ( 6 6 ^{\circ} )}

Dezimale

a = 6.84358 \dots

Schritte zur Lösung

\frac{a}{sin ( 4 4 ^{\circ} )} = \frac{9}{sin ( 6 6 ^{\circ} )}

Multipliziere beide Seiten mit

sin (4 4^{\circ})

\frac{a}{sin ( 4 4 ^{\circ} )} = \frac{9}{sin ( 6 6 ^{\circ} )}

Multipliziere beide Seiten mit

sin (4 4^{\circ})

\frac{a sin ( 4 4 ^{\circ} )}{sin ( 4 4 ^{\circ} )} = \frac{9 sin ( 4 4 ^{\circ} )}{sin ( 6 6 ^{\circ} )}

Vereinfache

a = \frac{9 sin ( 4 4 ^{\circ} )}{sin ( 6 6 ^{\circ} )}

a = \frac{9 sin ( 4 4 ^{\circ} )}{sin ( 6 6 ^{\circ} )}

so l v e f or c, sec (4 5^{\circ} + \frac{a}{2}) sec (4 5^{\circ} - \frac{a}{2}) = 2 sec (a)

cos^{2} (x) = 1 + cos^{2} (x)

so l v e f or c, sin^{3} (x) + sin (x) cos (x) + cos^{3} (x) = 1

so l v e f or t, tan (x) tan^{2} (x) = 1

so l v e f or t, tan (a) + tan (b) = 2 tan (a + b)