A graph is given with a plot of y = sin(x) for 0 <= x <= 360. Which value of x in the range 90 <= x <= 180 satisfies sin(x) = sin(30)?
x = 150.This question requires that the student uses the symmetry of the sine graph. If we draw y = sin(30) on top of y = sin(x), it is clear that a possible value of x is 150.
A harder question could use a transformation of sin(x). E.g. which values in the range 90 <= x <= 360 satisfy sin(x) = -sin(30) (Ans: x = 210, x = 330).The student could draw y = -sin(30), and use the fact that this line meets the curve y = sin(x) 30 degrees from the point where y = sin(x) meets the x axis.
JS
Related Maths GCSE answers
All answers ▸Three different brands of rice are on sale, which brand provides the best value for money? Their prices are: Brand A) 250g for £3.21, Brand B) 400g for £5.30, Brand C) 750g for £8.80
A box contains an assortment of 100 coloured marbles, coloured red, blue and green. The ratio of blue balls to green balls is 1:3. If there are 16 red balls in the box, what is the ratio of red balls to green balls, and red balls to blue balls?
How do I solve the following question. 'Find the values of x such that 2log3(x) - log3(x-2) = 2'.
How to add fractions