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Objective # 27 Homework: Introduction of the Sine, Cosine and Tangent Operations on a Calculator Sine, Cosine and Tangent Operations on a Calculator Worksheet Trigonometric Operations: There are six trigonometric operations: sine, cosine, tangent, secant, cosecant and cotangent Sine is an operation performed on an angle that will give an answer between -1 and +1 inclusive Notation: sin 30˚ = .5, sin 59˚ = .8572, sin 213˚ = -.5446 Cosine is an operation performed on an angle that will give an answer between -1 and +1 inclusive Notation: cos 30˚ = .866, cos 59˚ = .5150, cos 213˚ = -.8387 Tangent is an operation performed on an angle that will give an answer that could be any real number Notation: tan 30˚ = .5774, tan 59˚ = 1.6643, tan 213˚ = .6494 Trig Value: is the name given to each answer Note # 1: Make sure calculators are in degrees mode ... should see a D or DEG ... not RAD or GRAD! Radians and Gradients are another form of angle measurement. WE WILL ONLY BE USING DEGREES! Note # 2: Extended decimals should be ROUNDED to four decimal places! EXAMPLES: Find the following trig values using your calculator: (round to four places) a) sin 33˚ = _____ b) cos 33˚ = _____ c) tan 33˚ = _____ d) sin 127˚ = _____ e) cos 127˚ = _____ f) tan 127˚ = _____ g) sin 180˚ = _____ h) cos 180˚ = _____ i) tan 180˚ = _____ j) sin 267˚ = _____ k) cos 267˚ = _____ l) tan 267˚ = _____ m) sin 270˚ = _____ n) cos 270˚ = _____ o) tan 270˚ = _____ p) sin -33˚ = _____ q) cos -33˚ = _____ s) (sin 53˚)2 + (cos 53˚)2 – tan 315˚ = _____ r) tan -33˚ = _____ Sine, Cosine and Tangent Operations on a Calculator Worksheet 1. Find the following trig values using your calculator (round to four decimal places): a) sin 27˚ = _____ b) sin 45˚ = _____ e) sin 133.3˚ = _____ f) sin -30˚ = _____ i) sin -93˚ = _____ c) cos 0˚ = _____ d) tan -90˚ = _____ g) cos -30˚ = _____ h) tan 213˚ = _____ j) cos 58.3˚ = _____ k) cos 315˚ = _____ l) tan -134˚ = _____ m) sin 180˚ = _____ n) cos -135˚ = _____ o) cos 180˚ = _____ p) tan 89.9˚ = _____ q) sin 246˚ = _____ r) cos 90˚ = _____ s) tan 0˚ = _____ t) tan 45˚ = _____ u) sin 90˚ = _____ v) cos -75˚ = _____ w) tan 66˚ = _____ x) tan 135˚ = _____ y) sin -210˚ = _____ z) cos 98˚ = _____ 2. Use your calculator to perform each of the following operations: a) (sin 28˚)2 + (cos 28˚)2 = __________ b) 3(sin 60˚) - 3(cos -30˚) = __________ c) 5(tan 135˚) - (cos 360˚) = __________ d) sin 126˚ + cos 126˚ + tan 126˚ = __________ e) (tan 82˚)2 - (cos 116˚)2 = __________ f) sin -25˚ - cos -25˚ + tan -25˚ = __________ 3. Use your calculator to perform each of the following operations: a) sin 15˚ = _____ cos 75˚ = _____ b) sin 50˚ = _____ cos 40˚ = _____ c) sin 73˚ = _____ cos 17˚ = _____ d) Without using your calculator predict the value for cos 29˚ if sin 61˚=.8746 e) Without using your calculator predict the value for sin 90˚ if cos 0˚ = 1 f) Describe the pattern you see: ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________