In exercises 19-20, write a function for the sinusoid.
19.
20.
\( \square \) \( \square \)
21. You put a reflector on a spoke of your bicycle wheel. The highest point of the reflector is 25 inches above the ground, and the lowest point is 2 inches. The reflector makes 1 revolution per second. Write a model for the height \( h \) (in inches) of a reflector as a function of time \( t \) (in seconds) given that the reflector is at its lowest point when \( t=0 \). \( \square \)
In exercises 22-23, simplify the expression.
22. \( \cot ^{2} x-\cot ^{2} x \cos ^{2} x \)
23. \( \frac{(\sec x+1)(\sec x-1)}{\tan x} \) \( \square \) \( \square \)
In exercises 24-25, verify the identity.
24. \( \frac{\cos x \sec x}{1+\tan ^{2} x}=\cos ^{2} x \)
25. \( \tan \left(\frac{\pi}{2}-x\right) \cot x=\csc ^{2} x-1 \)
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