Grade 12 Trigonometric Proofs Worksheet
A worksheet for Grade 12 students focusing on proving trigonometric identities using fundamental identities, sum/difference formulas, double angle formulas, and half angle formulas.
Includes
6 Short Answer
Standards
CCSS.MATH.CONTENT.HSF.TF.C.8
Topics
TrigonometryProofsIdentitiesGrade 12Math
8 sections · Free to use · Printable
Trigonometric Proofs
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Prove the following trigonometric identities. Show all your steps clearly and use fundamental identities where necessary.
1. Prove the identity: (sin x + cos x)² = 1 + 2 sin x cos x
2. Prove the identity: tan x + cot x = sec x csc x
3. Prove the identity: (1 - cos²x) / sin x = sin x
4. Prove the identity: (sec x - tan x)(sec x + tan x) = 1
5. Prove the identity: cos (x + y) + cos (x - y) = 2 cos x cos y
6. Prove the identity: sin (2x) / (1 - cos (2x)) = cot x