CATGeometry > Hard2cosθ\sqrt{2} \cos \theta2cosθ1(sinθ+cosθ)2\frac{(\sin \theta + \cos \theta)}{\sqrt{2}}2(sinθ+cosθ)2sinθ\sqrt{2} \sin \theta2sinθ✅ Correct Option: 4Related questions:CAT 2023 Slot 3Let △ABC\triangle ABC△ABC be an isosceles triangle such that ABABAB and ACACAC are of equal length. ADADAD is the altitude from AAA on BCBCBC and BEBEBE is the altitude from BBB on ACACAC. If ADADAD and BEBEBE intersect at OOO such that ∠AOB=105∘\angle AOB = 105^\circ∠AOB=105∘, then AD/BEAD/BEAD/BE equalsCAT 2024 Slot 3The midpoints of sides ABABAB, BCBCBC, and ACACAC in △ABC\triangle ABC△ABC are MMM, NNN, and PPP, respectively. The medians drawn from AAA, BBB, and CCC intersect the line segments MPMPMP, MNMNMN and NPNPNP at XXX, YYY, and ZZZ, respectively. If the area of △ABC\triangle ABC△ABC is 144014401440 sq cm, then the area, in sq cm, of △XYZ\triangle XYZ△XYZ isCAT 2023 Slot 2A triangle is drawn with its vertices on the circle C such that one of its sides is a diameter of C and the other two sides have their lengths in the ratio a:ba: ba:b. If the radius of the circle is rrr, then the area of the triangle is