Math, asked by mogli12, 9 months ago

If

$\sqrt{3}$
root 3 sin ø-cos = 0, and 0 <0<90, then ø =
a) 30
b) 45
c) 90
d) 60

Answers

Answered by Anonymous

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{\boxed { \huge \mathcal\red{\mathcal{Solution}}}}}$

$\huge \star$ •GiVEN:-

$\boxed{ \bf\sqrt{3} sin \phi - cos \phi = 0}$

$\huge \star$ •To find:-

$\huge\red{\phi=?}$

$\huge \star$ •Solution:-

$\implies\bf\sqrt{3} sin \phi - cos \phi = 0\\ \implies\bf\sqrt{3} sin \phi=cos \phi\\ \implies\bf\frac{sin \phi}{cos \phi}=\frac{1}{\sqrt{3}}\\ \implies tan \phi=tan 30\degree\:\:(\because tan30\degree=\frac{1}{\sqrt{3}})\\ \implies \bf\boxed{ \bf\huge\red{\phi =30\degree}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\therefore$ •Option=(a)30°

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

$\mathcal{ \&#35;\mathcal{answer with quality }\: \: \&#38; \: \: \&#35;BAL }$

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If root 3 sin ø-cos = 0, and 0 <0<90, then ø =a) 30b) 45c) 90d) 60​

Answers

If

$\sqrt{3}$
root 3 sin ø-cos = 0, and 0 <0<90, then ø =
a) 30
b) 45
c) 90
d) 60