Grade 11 Trigonometric Proofs Worksheet
A worksheet for Grade 11 students to practice proving trigonometric identities.
Includes
3 Short AnswerTrue / FalseFill in the BlanksMultiple Choice
Standards
CCSS.MATH.CONTENT.HSG.SRT.C.8
Topics
TrigonometryProofsIdentitiesGrade 11
8 sections · Free to use · Printable
Grade 11 Trigonometric Proofs
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Date:
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Prove the following trigonometric identities. Show all your steps clearly.
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. True or False: (1 - cos²x) / sin x = sin x
T
True
F
False
4. The Pythagorean identity states that sin²θ + cos²θ = .
5. Which of the following is equivalent to (sec²x - 1)?
a
sin²x
b
cos²x
c
tan²x
d
cot²x
6. Prove the identity: (1 - sin x) / cos x = cos x / (1 + sin x)