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SUPER HEXAGON. Retention of the rules is the key to master the trigonometric identities. Given the hexagon and clues. Identify the identities being stated. sin cos A tan E 1 cot sec cse Triangle A Clockwise from sin = Pythagorean Identity 1. Tan / 1/Cot; Sin / 1/ Csc; Sec / 1/ Cos %3D 2. Horizontal Lines 3. Triangles F to A (Outside lines, clockwise from tan)= 4. Tringle D and C (meets at bisector) 5. Triangle E Clockwise from tan

SUPER HEXAGON. Retention of the rules is the key to master the trigonometric identities. Given the hexagon and clues. Identify the identities being stated. sin cos A tan E 1 cot sec cse Triangle A Clockwise from sin = Pythagorean Identity 1. Tan / 1/Cot; Sin / 1/ Csc; Sec / 1/ Cos %3D 2. Horizontal Lines 3. Triangles F to A (Outside lines, clockwise from tan)= 4. Tringle D and C (meets at bisector) 5. Triangle E Clockwise from tan

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 41E
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What I Have Learned HIGHLIGHTS. In the next three boxes are the proofs to a certain trigonometric identity. There are highlighted and missing parts for each identity given. Instructions: Identify the identity on the highlighted part, identify the trigonometric identity being discussed, and supply the missing parts. cos (2X) = cos2 x – sin² x. Since X= 0 cos (20) = cos2 0 - sin2 0, and cos20 = 1- sin2e, s Simplify: cos (20) = 1- 2sin20; proved cos (2x+x) cos 2x cos x- sin 2x sin x 1. %3D COS cos(20) = 1. SO %3D 2. cos 3x %3D (2 cos2x -1) cos x- (2sin x cos x) sin x 2 cos3x - 2 cos3x - cos x - 2 %3D coS X - (1- cos2 x) cos x 4 cos3x - 3 cos x> %3D %3D 20, 3. sin2e + cos?e = 1> sin2e + cos2e 1 (sin e+ (1)2 %3D cos2e cos2e cos2 kos e sos 0 SUPER HEXAGON. Retention of the rules is the key to master the trigonometric identities. Given the hexagon and clues. Identify the identities being stated. sin Cos A F 1 tan cot sec Csc Triangle A Clockwise from sin = Pythagorean Identity 1. Tan / 1/Cot ; Sin / 1/Csc; Sec / 1/ Cos %3D 2. Horizontal Lines 3. Triangles F to A (Outside lines, clockwise from tan)= 4. Tringle D and C (meets at bisector) 5. Triangle E Clockwise from tan %3D 18
Transcribed Image Text:What I Have Learned HIGHLIGHTS. In the next three boxes are the proofs to a certain trigonometric identity. There are highlighted and missing parts for each identity given. Instructions: Identify the identity on the highlighted part, identify the trigonometric identity being discussed, and supply the missing parts. cos (2X) = cos2 x – sin² x. Since X= 0 cos (20) = cos2 0 - sin2 0, and cos20 = 1- sin2e, s Simplify: cos (20) = 1- 2sin20; proved cos (2x+x) cos 2x cos x- sin 2x sin x 1. %3D COS cos(20) = 1. SO %3D 2. cos 3x %3D (2 cos2x -1) cos x- (2sin x cos x) sin x 2 cos3x - 2 cos3x - cos x - 2 %3D coS X - (1- cos2 x) cos x 4 cos3x - 3 cos x> %3D %3D 20, 3. sin2e + cos?e = 1> sin2e + cos2e 1 (sin e+ (1)2 %3D cos2e cos2e cos2 kos e sos 0 SUPER HEXAGON. Retention of the rules is the key to master the trigonometric identities. Given the hexagon and clues. Identify the identities being stated. sin Cos A F 1 tan cot sec Csc Triangle A Clockwise from sin = Pythagorean Identity 1. Tan / 1/Cot ; Sin / 1/Csc; Sec / 1/ Cos %3D 2. Horizontal Lines 3. Triangles F to A (Outside lines, clockwise from tan)= 4. Tringle D and C (meets at bisector) 5. Triangle E Clockwise from tan %3D 18
A. Prove each of the following identities. What's More Practice Time! Cos A +1+ sin A CSC A COSA 1. 1+ sin A cos A 2 sec A 2. cos² A tan A+ cot A sec A-1 3. sin²= 2 4 2 4. sin A- cos A sin2 A- cos 2 A 2 sec A 5. 2 cos A tan A csc A3 2 B. Give what it is being asked. 5 TC 6. Find the exact value of cos 12. 7. Find the value of: (tan 10°) (tan 15°) (tan 20°) ... (tan 80°) 8. If sin x COS X = sin x 3, find sec x 9. If cos A= 13 with 0 < A < n, find sin 2A and cos 2A. 10. Use the HAI to find the exact value of tan 75°. This dogge* wants you to finish this module honestly. This dogge believes that you can finish this in time. This dogge eats the lunch of the cheaters. Don't make this dogge a mad dogge. *This dogge is a meme. 17
Transcribed Image Text:A. Prove each of the following identities. What's More Practice Time! Cos A +1+ sin A CSC A COSA 1. 1+ sin A cos A 2 sec A 2. cos² A tan A+ cot A sec A-1 3. sin²= 2 4 2 4. sin A- cos A sin2 A- cos 2 A 2 sec A 5. 2 cos A tan A csc A3 2 B. Give what it is being asked. 5 TC 6. Find the exact value of cos 12. 7. Find the value of: (tan 10°) (tan 15°) (tan 20°) ... (tan 80°) 8. If sin x COS X = sin x 3, find sec x 9. If cos A= 13 with 0 < A < n, find sin 2A and cos 2A. 10. Use the HAI to find the exact value of tan 75°. This dogge* wants you to finish this module honestly. This dogge believes that you can finish this in time. This dogge eats the lunch of the cheaters. Don't make this dogge a mad dogge. *This dogge is a meme. 17
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