What is the general solution for cos(t)= 3/5 ?

The general solution for cos(t)= 3/5 is t=0.92729…+2pin,t=2pi-0.92729…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(t)= 3/5

cos (t) = \frac{3}{5}

t = 0.92729 \dots + 2 πn, t = 2 π - 0.92729 \dots + 2 πn

Degrees

t = 53.13010 \dots^{\circ} + 36 0^{\circ} n, t = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (t) = \frac{3}{5}

Apply trig inverse properties

cos (t) = \frac{3}{5}

General solutions for

cos (t) = \frac{3}{5}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

t = arccos (\frac{3}{5}) + 2 πn, t = 2 π - arccos (\frac{3}{5}) + 2 πn

t = arccos (\frac{3}{5}) + 2 πn, t = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

t = 0.92729 \dots + 2 πn, t = 2 π - 0.92729 \dots + 2 πn

cos (4 θ) = - \frac{2}{3}

3 + 4 cos (2 x) + 2 cos (4 x) = 0

cos (θ) = - \frac{4}{5}, sin (2 θ), 18 0^{\circ} < θ < 27 0^{\circ}

2 sin (θ) + 1 = 2

2 - 2 sin^{2} (3 x) = 1

What is the general solution for cos(t)= 3/5 ?
The general solution for cos(t)= 3/5 is t=0.92729…+2pin,t=2pi-0.92729…+2pin