Question

find the value of 2 tan 45°+ cos30°- sin 60°​

Answer 1

hope it's helpful

thank you

Answer 2

Given:

• 2 tan 45°+ cos30°- sin 60°

To Find:

• The value after evaluation

Solution:

Values here are,

• 2 tan 45° = 1
• Cos 30° = √3/2
• Sin 60° = √3/2

Putting the values in the equation we get,

$\dashrightarrow \tt \: 2 \tan(45)\degree + \cos(30)\degree - \sin(60 ) \degree \\ \\ \\ \\ \dashrightarrow \tt2(1) + \frac{ \sqrt{3} }{2} - \frac{ \sqrt{3} }{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \dashrightarrow \tt \: 2 \: \: \cancel{ + \frac{ \sqrt{3} }{2} } \: \: \: \: \: \: \cancel{ - \frac{ \sqrt{3} }{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \dashrightarrow { \purple{ \underline{ \boxed{ \pmb{ \frak{2}}}} \bigstar}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence,

• The value of 2 tan 45°+ cos30°- sin 60° is 2

More to know:

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

━━━━━━━━━━━━━━━━━━━━━━