What is the general solution for sec(x)= 70/15 ?

The general solution for sec(x)= 70/15 is x=1.35483…+2pin,x=2pi-1.35483…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(x)= 70/15

sec (x) = \frac{70}{15}

x = 1.35483 \dots + 2 πn, x = 2 π - 1.35483 \dots + 2 πn

Degrees

x = 77.62637 \dots^{\circ} + 36 0^{\circ} n, x = 282.37362 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = \frac{70}{15}

Cancel the common factor:

5

sec (x) = \frac{14}{3}

Apply trig inverse properties

sec (x) = \frac{14}{3}

General solutions for

sec (x) = \frac{14}{3}

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

x = arcsec (\frac{14}{3}) + 2 πn, x = 2 π - arcsec (\frac{14}{3}) + 2 πn

x = arcsec (\frac{14}{3}) + 2 πn, x = 2 π - arcsec (\frac{14}{3}) + 2 πn

Show solutions in decimal form

x = 1.35483 \dots + 2 πn, x = 2 π - 1.35483 \dots + 2 πn

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

3 cos (x) = 3 sin (x)

θ, 2 cos (θ) - 3 = 0

3 cos (4 θ - 2 6^{\circ}) + 5 = 7, - 3 0^{\circ} \leq θ < 4 5^{\circ}

tan^{2} (θ) - tan (θ) = 6, 0^{\circ} \leq θ < 18 0^{\circ}

What is the general solution for sec(x)= 70/15 ?
The general solution for sec(x)= 70/15 is x=1.35483…+2pin,x=2pi-1.35483…+2pin