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Mathematics 20 Online
OpenStudy (salazarblack):

can anybody help?

OpenStudy (salazarblack):

OpenStudy (salazarblack):

@ikram002p can you help me with this?

ganeshie8 (ganeshie8):

hint : sin(A+B) formula

OpenStudy (salazarblack):

that's sin(x+pi/5) right?

ganeshie8 (ganeshie8):

Yep !

OpenStudy (salazarblack):

how do i know that x=7pi/15 ?

ganeshie8 (ganeshie8):

\[\large \sin (x+\frac{\pi}{5}) = \frac{\sqrt{3}}{2}\]

ganeshie8 (ganeshie8):

take inverse sin both sides

ganeshie8 (ganeshie8):

\[\large x+\frac{\pi}{5} = \arcsin (\frac{\sqrt{3}}{2})\]

ganeshie8 (ganeshie8):

\[x + \frac{\pi}{5} = \frac{\pi}{3} + 2n\pi , ~ \left(\pi - \frac{\pi}{3}\right) + 2n\pi \]

ganeshie8 (ganeshie8):

plugin n = 0 and solve x

OpenStudy (salazarblack):

ohh got it..thanks a lot! :)

ganeshie8 (ganeshie8):

np :)

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