TEMATICS INVESTIGATION 1 FEB/MARCH 2024 GRADE 10-CAPS FEB/MARCH 2024 MATHEMATICS REMARKS: INVESTIGATION 1 GRADE 10-CAPS You are reminded of the definitions of sine, cosine and tangent, abbreviated as sin, cos and tan. In the Right-angled triangle below: hypotenuse side opposite 0 side adjacent to 0 R sin === side opposite PQ sin = hypotenuse PR side adjacent to 0 side opposite side opposited QR hypotenuse PR cose = side adjacent to QR side adjacent to PQ hypotenuse coso = PR hypotenuse PR tan = side opposite PQ tan = side adjacent to QR side opposite side adjacent to & QR PQ TASK NO 1 - 38 MARKS Consider the diagram below: 1.1 Name all the similar triangles in the sketch above. (3) 1.2 Given that BD = 8 units, DC = 4 units and AD = 4√√2 units, calculate the lengths of all the other line segments in the sketch. Leave your answers in surd form (5) 1.3 Express sin a, cosa and tana in as many different ways as possible. For example sin a = BA BC = AD AC (15) 1.4 Given that ABC = ẞ, express sin ẞ, cosẞ and tan ẞ in as many different ways as possible. (15)​