Maths - Difficult topics

In a semi circle, what angle is there?

90 degrees

The angle at the ? is half the size of the angle at the ?. Fill the gaps

Circumference, centre

Angles in the same what from a common what are equal?

Segment, chord

Opposite angles in a cyclic quadrilateral sum to what?

180 degrees

What is the angle between a tangent and radius?

90 degrees

What is alternate segment theorem?

An angle between a chord and tangent is equal to the opposite angle in the triangle

At the same opposite point, what are the tangents to a circle?

Equal length

At what angle does a radius bisect a chord?

90 degrees

What is the diameter and radius of a circle?

Diameter: Full length across

Radius: ½ of diameter

What is the circumference?

The whole of the edge of the circle

What is an arc and a tangent?

Arc: Part of the outside

Tangent: A line that touches but does not intersect the circle

What is a chord, segment and sector?

Chord: Line splitting the circle in two

Sector: Formed by a chord, major being the larger and minor the smaller

Segment: A straight edge of the circle

What features does a y = sin(x) graph consist?

• Starting from (0,0)

• y-axis of the amplitude of the wave

• x-axis of the wavelength

• Fluctuates of rest, lowest and highest positions every 180 degrees

What features does a y = cos(x) graph have?

• Starts from (0, 1)

• Fluctuates every 180 degrees to certain points

What features does a y = tan(x) graph have?

• Goes up in a weird shape, inconsistent to cosx or sinx

• Every 180 degrees from tan90, tan270 etc is undefined