Grade 9 Trigonometric Proofs Worksheet
A worksheet for Grade 9 students to practice trigonometric proofs, covering fundamental identities and basic proof techniques.
Includes
3 Short AnswerFill in the BlanksTrue / FalseMultiple Choice
Standards
CCSS.MATH.CONTENT.HSG.SRT.C.8
Topics
MathTrigonometryProofsGrade 9
8 sections · Free to use · Printable
Trigonometric Proofs Worksheet
Name:
Date:
Score:
Prove the following trigonometric identities. Show all your steps clearly and logically.
1. Prove the identity: sin(x) * cot(x) = cos(x)
2. Prove the identity: (1 - sin²(x)) / cos(x) = cos(x)
3. Prove the identity: tan(x) + cot(x) = sec(x) * csc(x)
4. The reciprocal of sin(x) is .
5. The Pythagorean identity states that sin²(x) + cos²(x) = .
6. Is the identity tan(x) = sin(x) / cos(x) true?
T
True
F
False
7. Is the identity 1 + cot²(x) = csc²(x) true?
T
True
F
False
8. Which of the following is equivalent to 1/sec(x)?
a
sin(x)
b
cos(x)
c
tan(x)
d
cot(x)