This is due tonight 9pm

(5marks)Suppose that for some angle we have sin=0.75.

1. (a)Using the unit circle definition of the sine and cosine functions, explain why there is not a unique
2. answer for .
3. (b)Suppose that the smallest positive answer for is . Using a sketch (neatly hand drawn is fine),
4. estimate the value of .5 Compare this value with a calculator/computer answer.
5. (c)Intermsof,give2other answers for the equation sin=0.75, with the condition that2 2.
6. (For example, an answer to this part might be 1 2 and 2. Of course, if these are two answers, they need justification.)

(5 marks) Different isotopes of the same element can have very different half lives. With t in years, the decay of plutonium-240 is described by the formula

1. Q = Q0e0.00011t whereas the decay of plutonium-242 is described by
2. Q = Q0e0.0000018t . (In each case, Q0 is an initial mass, in kg, of an isotope.)
3. (a)What are the units of the number 0.00011 in the first formula? If it is not possible to say, explain why.3
4. (b)which isotope has a greater halflife?
5. (c)Determine the halflives of each isotope.