Use identities to find values of the sine and cosine functions of the function for the angle measurea. theta, given that cos2theta=28/53 and 0theta < theta < 90degreesb. 2theta, given sin theta= - sqrt 7 over 5 and cos theta > 0c. 2x, given tan x=2 and cos x<0

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.