What is the general solution for 6sin(θ)=2.5cos(θ) ?

The general solution for 6sin(θ)=2.5cos(θ) is θ=0.39479…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6sin(θ)=2.5cos(θ)

6 sin (θ) = 2.5 cos (θ)

θ = 0.39479 \dots + πn

Solution steps

6 sin (θ) = 2.5 cos (θ)

Rewrite using trig identities

6 tan (θ) = 2.5

Divide both sides by

6

tan (θ) = 0.41666 \dots

Apply trig inverse properties

θ = arctan (0.41666 \dots) + πn

Show solutions in decimal form

θ = 0.39479 \dots + πn

tan^{3} (x) + tan^{2} (x) - tan (x) - 1 = 0

tan (θ) = \frac{- 4 3}{4}

3 sin (x) - cos (x) = 3, 0 \leq x \leq 2 π

- 1 + 3 sin (x) = - 1 + 4 sin (x)

cos (x) = \frac{6}{25}

What is the general solution for 6sin(θ)=2.5cos(θ) ?
The general solution for 6sin(θ)=2.5cos(θ) is θ=0.39479…+pin