Question

find the value of root 3 tan 30+ root 2 sin 45 + 2/root 3 sin 60-3 cot 45

Answer 1

Answer:

The correct answer is 0

Step-by-step explanation:

We have,

tan 30 = 1/√3

sin 45 = 1/√2

sin 60 = √3/2

cot 45 = 1

To find √3 tan 30+ √2 sin 45 + 2/√3 sin 60-3 cot 45

√3 tan 30 = √3*1/√3  = 1

√2 sin 45 = √2*1/√2 = 1

2/√3 sin 60 = 2/√3 * √3/2 = 1

3 cot 45 = 3 * 1 = 3

√3 tan 30+ √2 sin 45 + 2/√3 sin 60-3 cot 45 = 1 + 1+ 1 - 3 = 0

Therefore the value of given statement is 0