13 Simplify the following expressions : a) sin2 1 b) tan2 sec2 c) d) 1 cos2 e) cot2 cosec2 14 Prove the following identity : sec cos (sec 1) = cos . Show your work. 15 Prove the following identity : . Show your work. 16 The depth of water at the port of St. Marie-Elise varies according to the tides. A sinusoidal function can be used to predict water depth. At low tide, the depth of the water is 9.2 m. At high tide, it is 18.2 m. The time between two low tides is 12 hours and 30 minutes. In order for an oil tanker to dock safely, the depth of water must be at least 14.5 m.
13 Simplify the following expressions : a) sin2 1 b) tan2 sec2 c) d) 1 cos2 e) cot2 cosec2 14 Prove the following identity : sec cos (sec 1) = cos . Show your work. 15 Prove the following identity : . Show your work. 16 The depth of water at the port of St. Marie-Elise varies according to the tides. A sinusoidal function can be used to predict water depth. At low tide, the depth of the water is 9.2 m. At high tide, it is 18.2 m. The time between two low tides is 12 hours and 30 minutes. In order for an oil tanker to dock safely, the depth of water must be at least 14.5 m.
mts5_june_2105_review.docx