sec(θ)= 1/(cos(67.38))

Lösung

sec (θ) = \frac{1}{cos ( 67.3 8 ^{\circ} )}

θ = 1.17600 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.17600 \dots + 36 0^{\circ} n

Radianten

θ = 1.17600 \dots + 2 πn, θ = 2 π - 1.17600 \dots + 2 πn

Schritte zur Lösung

sec (θ) = \frac{1}{cos ( 67.3 8 ^{\circ} )}

Wende die Eigenschaften der Trigonometrie an

sec (θ) = \frac{1}{cos ( 67.3 8 ^{\circ} )}

Allgemeine Lösung für

sec (θ) = \frac{1}{cos ( 67.3 8 ^{\circ} )}

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (a) + 36 0^{\circ} n

θ = arcsec (\frac{1}{cos ( 67.3 8 ^{\circ} )}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arcsec (\frac{1}{cos ( 67.3 8 ^{\circ} )}) + 36 0^{\circ} n

θ = arcsec (\frac{1}{cos ( 67.3 8 ^{\circ} )}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arcsec (\frac{1}{cos ( 67.3 8 ^{\circ} )}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

θ = 1.17600 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.17600 \dots + 36 0^{\circ} n

cos (x) = \frac{15}{19}

(sec (x) + 1)^{2} - tan (x) = 0

cos (A) = \frac{8}{17}

sec (θ) = \frac{6}{- 5}, sec (- θ)

cos (π z) = 0