Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name: ___________________________________________ Date: ___________________________ Hr: _______ Trigonometry 1.3 Homework The terminal side of an angle with measure π in standard position passes through the given point. Sketch the reference triangle. Evaluate sin π, cos π πππ tan π. Simplify all radicals. 1.) P (5, 12) sin π = ____________ cos π = ____________ tan π = ____________ 2.) P ( -5, -12) sin π = ____________ cos π = ____________ tan π = ____________ 3.) P (-6, -8) sin π = ____________ cos π = ____________ tan π = ____________ 4.) P (6, 8) sin π = ____________ cos π = ____________ tan π = ____________ 5.) P (10, -24) sin π = ____________ cos π = ____________ tan π = ____________ 6.) P (-6, 4) sin π = ____________ cos π = ____________ tan π = ____________ 1 π is the measure of an angle in standard positon that lies in the given quadrant. When sin π is given, evaluate cos π and tan π. When cos π is given, evaluate sin π and tan π. When tan π is given, evaluate sin π and cos π. Simplify all radicals. 1 7.) sin π = 8.) tan π = β 5 , ππ’ππππππ‘ πΌπΌ 9.) tan π = 10.) cos π = β 2 , ππ’ππππππ‘ πΌπΌ 3 4 5 , ππ’ππππππ‘ πΌ β2 2 , ππ’ππππππ‘ πΌπΌ The terminal side of an angle with measure π in standard position passes through the given point. Sketch the reference angle. Evaluate sin π, cos π πππ tan π. Simplify all radicals. 11.) P (-12, 5) 12.) P (3, -4) 13.) P (5, 2) 2 π is the measure of an angle in standard position that lies in the given quadrant. Evaluate the other two functions. 3 14.) cos π = β 5 , ππ’ππππππ‘ πΌπΌπΌ 15.) tan π = β 3 , ππ’ππππππ‘ πΌπ 16.) tan π = β1 , ππ’ππππππ‘ πΌπΌ 4 π is the measure of an angle in standard position that lies in the given quadrant. In each blank write + or β to indicate whether the values of the given functions are positive or negative in the given quadrant. I II III IV 17.) π πππ _____ _____ _____ _____ 18.) tan π _____ _____ _____ _____ State the quadrant or quadrants in which an angle in standard positon with measure π lies under the given conditions. 19.) π ππ π < 0 20.) cos π < 0 πππ π ππ π > 0 21.) cos π < 0 πππ π‘ππ π > 0 3