Question

sin10∅=cos8∅ than find=∅
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Answer 1

$\huge{ \sf{ \orange{ \mid{ \underline{ \overline{ \blue{ \: work \: out...}}}}}}}$

$\large{ \bold{ \red{ \underline{ \underline{Question...}}}}}$

$\sf{ \large{ \sin(10 \alpha ) = \cos(8 \alpha ) }} \\ \: \: \\ \large{ \sf{find \: \alpha }}( \: just \: in \: place \: of \: theta \: i \: am \: using \: \alpha )$

$\large{ \bold{ \green{ \underline{ \underline{Solution..}}}}}$

$\large{ \sf{ \to \: before \: we \: continue}} \\ \\ \boxed{ \purple{ \large{ \sf{ \sin( \alpha ) = \cos(90 - \alpha ) }}}}$

$\large{ \sf{ \to \:then\: \: \sin(10 \alpha ) = \cos(90 - \alpha ) }} \\ \\ \large{ \sf{ \to \: \cos(90 - 10\alpha ) = \cos(8 \alpha ) }} \\ \\ \large{ \sf{= > 90 - 10 \alpha = 8 \alpha }}\\ \\ \large{ \sf{ = > 90 = 18 \alpha }} \\ \\ \large{ \sf{ = > \alpha = \frac{90}{18} }} \\ \\ \large{ \sf{ \red{ \boxed{ = > \alpha = 5}}}} \\ \\ \large{ \purple{ \bold{required \: answer = 5}}}$

$\large{ \bold{ \orange{nothing \: beats \: a \: great \: smile...}}} \\ \large{ \bold{ \orange{ so \: keep \: smiling \: always...}}}$