Answer for first question:
tangent of P= 4/3
cosine of P= 3/5
sine of P= 4/5
Explanation:
tangent = opposite/ adjacent
cosine = adjacent/ hypotenuse
sine = opposite/ hypotenuse
2nd question: x=12
Explanation: When you have a 45-45-90 degree angle the hypotenuse will always be twice the base of the triangle and the longer leg will always be √2 times the base. Here you have the measurement of one of the longer sides- 6√2. Because we have this measurement, we know the base is going to be 6 and the hypotenuse, x, will be 12.
3rd question: cos y
Explanation: Let's give the triangle some measurements to make this easier.
The hypotenuse= 5.
The adjacent side of x= 3.
The opposite side of x= 4.
sine= opposite/ hypotenuse = sin x = 4/5
cosine= adjacent/ hypotenuse = cos x = 3/5
As you see, 3/5 and 4/5 are not equal, but when you try cos y and sin x. You will find that they are equal.
