Solve: sin2 θ + cos4 θ = cos2 θ + sin4 θ

(i) sin² θ + cos⁴ θ = cos² θ + sin⁴ θ
(ii)

Solution:

L.H.S. = sin² θ + cos⁴ θ
= (1 – cos² θ + cos⁴ θ
= 1 – cos² θ + cos⁴ θ
= 1 – cos² θ (1 – cos² θ)

More Solutions:

• Find the length of the wire.
• How far is he standing from the foot of the tower.
• An observer 1.5 m tall is 20.5 metres.
• Find the height of the helicopter above the ground.
• Find the height of the tree and the breadth of the river.
• Find the distance of two stones from the foot of the hill.