How to find six trig function

Question

opposite is 2 and hypotenuse is 2 square root 2

Answer 1

By the Pythagorean Theorem, adjacent = √[(2√2)² - 2²] = 2

So, the angle is 45°

sin45° = opposite / hypotenuse = 1/√2 = √2/2

cos45° = adjacent/hypotenuse = 1/√2 = √2/2

tan45° = opposite/adjacent = 1

csc45° = 1/sin45° = √2

sec45° = 1/cos45° = √2

cot45° = 1/tan45° = 1