Question

Solve This pls!!




please

Answer 1

EXPLANATION.

⇒ sinθ = 4/5.

As we know that,

sinθ = perpendicular/hypotenuse.

⇒ sinθ = p/h = 4/5.

By using the Pythagoras theorem, we get.

⇒ H² = P² + B².

Hypotenuse > Perpendicular > Base.

Put the value in the equation, we get.

⇒ (5)² = (4)² + B².

⇒ 25 = 16 + B².

⇒ 25 - 16 = B².

⇒ 9 = B².

⇒ B = √9.

⇒ B = 3.

sinθ = perpendicular/hypotenuse = 4/5.

cosθ = Base/hypotenuse = 3/5.

tanθ = perpendicular/base = 4/3.

cosecθ = hypotenuse/perpendicular = 5/4.

secθ = hypotenuse/base = 5/3.

cotθ = base/perpendicular = 3/4.

To find :

5sinθ - 3cosθ/2cosθ + 2sinθ.

Put the value in the equation, we get.

⇒ 5(4/5) - 3(3/5)/2(3/5) + 2(4/5).

⇒ 4 - 9/5/6/5 + 8/5.

⇒ 20 - 9/5/14/5.

⇒ 11/5/14/5.

⇒ 11/5 x 5/14 = 11/14.

⇒ 5sinθ - 3cosθ/2cosθ + 2sinθ = 11/14.