First slide

Trigonometric equations

Question

The smallest positive value of general solution of $\sin θ = \frac{- 1}{2}$ is

Easy

A

$\frac{π}{6}$
B

$\frac{7 π}{6}$
C

$\frac{11 π}{6}$
D

$\frac{5 π}{6}$

Solution

We have $\sin θ = \frac{- 1}{2}$
$\Rightarrow \sin θ = \sin (\frac{- π}{6})$
$\Rightarrow θ = n π + {(- 1)}^{n} (\frac{- π}{6})$
$f o r n = 0, θ = \frac{- π}{6}$
$f o r n = 1, θ = π + \frac{π}{6} = \frac{7 π}{6}$
$f o r n = 2, θ = 2 π - \frac{π}{6} = \frac{11 π}{6}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App