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Use identities to find the value of each expression. 1) If sin , find cos ( 2) If tan ( ) , find cot (
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Answers to Verifying Identities. sin x + csc x. 1) csc x. Decompose into sine and cosine. 1. +. sin x sin x. Simplify. 1.
Basic Word Problems. 1) Jimmy is 25' from the base of a tree. The angle of elevation to the top of the tree is 51°. Determine the height of the tree. 3) A ladder is leaning against a wall. It has an angle of elevation of 60° and reaches 8.5' up the wall. Determine the length of the ladder. 5) Jimmy is flying a blimp.
Worksheet by Kuta Software LLC-3-Answers to Worksheet Review Trig. Identities (basic) (ID: 1) 1) tan2x - sec2x cosx Use tan2x + 1 = sec2x-1 cosx Use secx = 1 cosx-secx 2) tanx + secxDecompose into sine and cosine sinx cosx + 1 cosx Simplify 1 + sinx cosx 3) secx sin3x Use cscx = 1 sinx csc3xsecxUse secx = 1 cosx csc3x cosx
Trigonometric Equations 1. Find all values of x for which 2cos 3x 0, if 0qqd x 360. 2. Solve 2sin 3T 0, if . 3. Solve 2cos 9co2 tt s5, if 0d t 2S. 4. Solve 2sin 2s 1 02 TT in, if 0q d TS. 5. Solve cos2 3sin 2 0,TT if 0qqddT 360.
