Question

if tan(2x+30°)=1,then find the value of x
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Answer 1

Step-by-step explanation:

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Answer 2

❏ Question:-

Find the value of x if,

$\sf\longrightarrow \tan(2x+30\degree)=1$

❏ Solution:-

$\sf\longrightarrow \tan(2x+30\degree)=1$

$\sf\longrightarrow \tan(2x+30\degree)=\tan45\degree$ (as, tan 45° = 1 )

$\sf\longrightarrow (2x+30\degree)=45\degree$

$\sf\longrightarrow 2x=45\degree-30\degree$

$\sf\longrightarrow 2x=15\degree$

$\sf\longrightarrow x=\dfrac{15\degree}{2}$

$\sf\longrightarrow\boxed{ \large{\red{x=7.5\degree}}}$