Question

sin 30° + tan 45º – cosec 60°
cot 45° + cos 60° - sec 30°
​

Answer 1

⠀⠀⠀⠀⠀sin 30° + tan 45º - cosec 60°

⠀⠀⠀⠀⠀⠀⠀⠀1/2 + 1 - 2/√3

⠀⠀⠀⠀⠀⠀(√3 + 2√3 - 4)/2√3

⠀⠀⠀⠀⠀⠀⠀⠀(3√3 - 4)/2√3

⠀⠀ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

⠀⠀⠀⠀⠀cot 45° + cos 60° - sec 30°

⠀⠀⠀⠀⠀⠀⠀⠀1 + 1/2 - 2/√3

⠀⠀ ⠀⠀⠀⠀(2√3 + √3 - 4)/2√3

⠀⠀⠀⠀⠀⠀⠀⠀(3√3 - 4)/2√3

⠀⠀⠀▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf Trigonometry\: Table \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \rm \infty \\ \\ \rm cosec A & \rm \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm \infty \\ \\ \rm cot A & \rm \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0 \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$