Evaluate:

3cos²30 + sec²30 + 2cos0 + 3sin90 – tan²60

Evaluate:

Evaluate:

2sin²30 cot30 – 3cos²60 sec²30

In ΔABC, m∠B = 90, find the measure of the parts of the triangle other than the ones which are given below:

(1) m∠C = 45, AB = 5

(2) m∠A = 30, AC = 10

(3) AC = 6√2, BC = 3√6

(4) AB = 4, BC = 4

In a rectangle ABCD, AB = 20, m∠BAC = 60, calculate the length of side and diagonals and.