Question

evalute cos 27°/sin63°​

Answer 1

$\huge{\underline{\bf\red{Questi {\mathbb{O}} n} :}}$

Evaluate :

$\boxed{ \frac{ \cos(27 \degree) }{ \sin(63 \degree) } }$

$\huge{\underline{\: \bf\green{Answ {\mathbb{E}} r}\ \: :}}$

The answer is $\blue{\underline{\bf\green{\quad 1 \ \red{(} one \red{)}\quad}}}$

$\huge{\underline{\bf\blue{Soluti {\mathbb{O}} n}\ :}}$

we have ,

$\begin{aligned} & \quad \ \frac{ \cos(27 \degree) }{ \sin(63 \degree) } \\ \\ & = \frac{ \cos(90 \degree - 63 \degree) }{ \sin(63 \degree) } \\ \\ & = \frac{ \sin(63 \degree) }{ \sin(63 \degree) } \\ \\ & = \cancel{ \frac{ \sin(63 \degree) }{ \sin(63 \degree) } } \\ \\ & = \quad 1 & & & & & \end{aligned}$

$\red{\rule{5.5cm}{0.02cm}}$

Identity Used :-

$\boxed{ \quad \cos(90 \degree - \theta) = \sin( \theta) \quad }$

$\purple{\rule{7.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$