Sin, Cos, & Tan Ratios - USD 416
Sin, Cos, & Tan Ratios Find the value of each trigonometric ratio Write each as a FRACTION and a DECIMAL 1) sin A 18 24 A 30 B C 2) sin C 32 24 40 C B A 3) sin C 24 7 25 C B A 4) sin C 24 18 30 C A 5) sin X 28 21 35 X Y Z 6) sin Z 16 30 34 Z Y X 7) sin X 20 15 25 X Y Z 8) sin A 15 8 17 A B C 9) sin A 14 48 A 50 B C
TRIGONOMETRIC IDENTITIES
tan = sin cos cot = 1 tan = cos sin csc = 1 sin sec = 1 cos Pythagorean Identities sin2 +cos2 = 1 1 sin2 = cos2 1 cos2 = sin2 tan2 +1 = sec2 1+cot2 = csc2 Angle Sum
Trigonometric Formula Sheet De nition of the Trig Functions
tan = sin cos cot = cos sin Reciprocal Identities sin = 1 csc csc = 1 sin cos = 1 sec sec = 1 cos tan = 1 cot cot = 1 tan Pythagorean Identities sin2 + cos2 = 1 tan2 + 1 = sec2 1 + cot 2 = csc Even and Odd Formulas sin( ) = sin cos( ) = cos tan( ) = tan csc( ) = csc sec( ) = sec cot( ) = cot Periodic Formulas If n is an integer sin( + 2ˇn) = sin
Sine, Cosine, and Tangent Practice
29) tan B = 0 6249 30) tan C = 0 1405 -3- ©r 2K2uXtEa2 zSvoNfmtQwhaHrDes HLWLtC h v l mAjljl f trGiRg2hCtush ErFersXeNrMvoeodc k 2 YMsaBdjeM Sw7ilt1hg 6IrnzfSiYnuit5ew MAYl6gGeJbqraaP G15 m Worksheet by Kuta Software LLC
A Guide to Trigonometry for Beginners
3 Basic Use of Sin, Cos and Tan In this lesson we will use sin, cos and tan ratios in right angled triangles We start by revising the definitions 4 Using to Calculating a Side This video covers the first of the application videos in which we use the trigonometric ratios to determine the length of a side in a right angled triangle
Evaluating trigonometric functions
Evaluate tan ˇ 3 and sec ˇ 4 Answer Since tan = sin cos , we have tan ˇ 3 = sin ˇ 3 cos ˇ 3 = p 3=2 1=2 = p 3: Similarly, sec ˇ 4 = 1 cos ˇ 4 = 1 1= p 2 = p 2: 2 Larger angles the geometric method The rst thing to notice is that since sine and cosine repeat their values every 2ˇ radians, if you are asked to evaluate one of these
Trig Cheat Sheet - Lamar University
tan adjacent q= adjacent cot opposite q= Unit circle definition For this definition q is any angle sin 1 y q==y 1 csc y q= cos 1 x q==x 1 sec x q= tan y x q= cot x y q= Facts and Properties Domain The domain is all the values of q that can be plugged into the function sinq, q can be any angle cosq, q can be any angle tanq, 1,0,1,2, 2 qpnn
Domain, Range, and Period of the three main trigonometric
I tan(tan 1(x)) = xwhen 1
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