What is the general solution for sin(θ)=-7/25 ?

The general solution for sin(θ)=-7/25 is θ=-0.28379…+2pin,θ=pi+0.28379…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)=-7/25

sin (θ) = - \frac{7}{25}

θ = - 0.28379 \dots + 2 πn, θ = π + 0.28379 \dots + 2 πn

Degrees

θ = - 16.26020 \dots^{\circ} + 36 0^{\circ} n, θ = 196.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{7}{25}

Apply trig inverse properties

sin (θ) = - \frac{7}{25}

General solutions for

sin (θ) = - \frac{7}{25}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

Show solutions in decimal form

θ = - 0.28379 \dots + 2 πn, θ = π + 0.28379 \dots + 2 πn

cos (\frac{θ}{2}) = - \frac{3}{2}

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

3 sec (θ) = 2

cosh (x) = - 1

5 sin (2 θ) = 7 cos (2 θ)

What is the general solution for sin(θ)=-7/25 ?
The general solution for sin(θ)=-7/25 is θ=-0.28379…+2pin,θ=pi+0.28379…+2pin