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Tag Archives: Trigonometry
IB HL width of water surface inside a secant function channel
The equation that represents the boundary is given by Find the width of the water surface in the channel when the water depth is 10 cam.
Two pulleys sinusoidal function
Two pulleys are connected by a belt. Pulley A has a radius of 3 cm and Pulley B has a radius of 6cm. As pulley A rotates, a drop of paint on the circumference of Pulley B rotates around the … Continue reading
IB Math Modelling tide using sine function
In a busy harbor, the time difference between successive high tides is about 12.3 hrs. The water level varies by 2.4 meters between high and low tide. Tomorrow, the first high tide will be 4.7 meters at this time. a). … Continue reading
IB HL inverse of cos(x-k) when pi < k < 2pi
Let f(x)=cos(x-k) where and .Consider the case where
A simple IB question on vertical transformation of trig function that gave lot of teachers headache
Consider and , where . The graph of is obtained by two transformations of the graph of . a) Describe the two transformations. The y intercept of the graph of g is at (0,r). b) Given that . Find the … Continue reading
IB Math f(x)=6+6cos(x)
Consider the function defined by for . The following diagram shows the graph of .
IB Math Ambiguous case Minimum Parameter
Consider a triangle ABC where AC =12, CB=7 and . Find the smallest possible perimeter of the triangle ABC.
IB Math In a right angled circle
The following diagram shows a semicircle with center O and radius r. Points P, Q and R lie on the circumference of the circle, such that PQ=2r and where $o < \theta <\pi$
Geometry Problem that requires cosine rule and the idea equal chords subtend equal angle.
Two circles C1 and C2 intersect at points X and Y. The center of circle C1, called point O lies on circle C2 as well. From point Z on circle C2 chords are drawn to points Y, O and X … Continue reading
Sumant's 1 page of Math 