Question

Cos 30° - Sin 45°/tan 45° - Cot 30°​

Answer 1

Question ⤵

Cos 30° - Sin 45°/tan 45° - Cot 30°

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Solution ⤵

Value of ☟

• Cos 30° :- √3/2
• Sin 45° :- 1/√2
• tan 45° :- 1
• Cot 30° :- √3/2

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Answer ⤵

☞ Refer To The Attachment

Answer 2

$\sf\frac{6\sqrt{3} + 1 + \sqrt{2}}{2}$

• Step-by-step explanation:

We have to evaluate the following expression:

• tan 60° + sin 30° + cos 30° + sin 60° + cos 45° + cot 30°

• Now, tan 60° = √3, sin 30° = 1/2, cos 30° = (√3)/2, sin 60° = (√3)/2, cos 45° = 1/√2 and cot 30° = √3.

Therefore, tan 60° + sin 30° + cos 30° + sin 60° + cos 45° + cot 30°

$\sf= \sqrt{3} + \frac{1}{2} + \frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2} + \frac{1}{\sqrt{2}} + \sqrt{3}$

$\sf= 3\sqrt{3} + \frac{1 + \sqrt{2}}{2}$

$\sf= \frac{6\sqrt{3} + 1 + \sqrt{2}}{2}$

• (Answer)=√2