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True or False - Use a capital letter T or F that best completes the statement or answers the question ** For each full mark, please remember to support your answer with some form of correct logic or math. 11. A sine function can be differentiated only if the independent variable is x 12. There are an infinite number of points on the curve y = 2sin2x where the slope m of the tangent equals -4 13. The rate of change of a sinusoidal function is periodic in nature. 14. The derivative of the tangent function can be evaluated at any value of x 15. One way of finding the derivative of a reciprocal trigonometric function would be to use the related base function and use the power chain rule. 16. Every successive derivative of the function y = 0.5 sin (kx) will have a larger amplitude than any of its previous derivatives as long as |k| > 1. 17. If a situation can be modelled with a cosine function then it can also be modelled with a cotangent function. (зп 18. The curve y = 2sin (ex) has a critical value at x = In (**) 19. Sinusoidal curves have an infinte number of inflection points. 20. 1 The curve y = has no max/min points. sec (x-7)