Find tan(x) and cos(x) in the diagram. Find sin(θ) and cos(θ) in the diagram. Find the value of Γ sin(Γ) and cos(Γ).

Problem 1: Find (x) and (x) The diagram shows a right-angled triangle with the side opposite angle x as 3 and the side adjacent to angle x as 4. Step 1: Find the hypotenuse. Using the Pythagorean theorem, a^2 + b^2 = c^2: 3^2 + 4^2 = c^2 9 + 16 = c^2 25 = c^2 c = sqrt(25) = 5 The hypotenuse is 5. Step 2: Calculate (x). (x) = OppositeAdjacent (x) = (3)/(4) Step 3: Calculate (x). (x) = AdjacentHypotenuse (x) = (4)/(5) The values are (x) = (3)/(4) and (x) = (4)/(5). Problem 2: Find () and () The diagram shows a right-angled triangle with the side opposite angle as 12 and the side adjacent to angle as 9. Step 1: Find the hypotenuse. Using the Pythagorean theorem, a^2 + b^2 = c^2: 12^2 + 9^2 = c^2 144 + 81 = c^2 225 = c^2 c = sqrt(225) = 15 The hypotenuse is 15. Step 2: Calculate (). () = OppositeHypotenuse () = (12)/(15) = (4)/(5) Step 3: Calculate (). () = AdjacentHypotenuse () = (9)/(15) = (3)/(5) The values are () = (4)/(5) and () = (3)/(5). Problem 3: Find the value of () and () This question appears to refer to the same angle from the second diagram, as no new diagram is provided and is an undefined constant. Step 1: Use the values of () and () from Problem 2. From Problem 2, we found () = (4)/(5) and () = (3)/(5). Step 2: Calculate (). Since is an unknown constant, we express the value in terms of : () = · (4)/(5) = (4)/(5) Step 3: State the value of (). () = (3)/(5) The values are () = (4)/(5) and () = (3)/(5). Send me the next one 📸