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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is tan(60°) using the quotient identity?
💡 Hint: Use known values of sin(60°) and cos(60°).
Question 2
Easy
Express cot(30°) using the quotient identity.
💡 Hint: Remember the reciprocal relationship.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for tangent in terms of sine and cosine?
- tan(θ) = cos(θ)/sin(θ)
- tan(θ) = sin(θ)/cos(θ)
- tan(θ) = sin(θ) + cos(θ)
💡 Hint: Think about how tangent relates to the triangle ratios.
Question 2
True or False: Cotangent is equal to the reciprocal of tangent.
- True
- False
💡 Hint: Recall the definition of cotangent.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that tan(θ) * cot(θ) = 1 using the quotient identities.
💡 Hint: Substituting the definitions of each function will reveal the identity.
Question 2
Show how to derive the quotient identity for tangent using the unit circle approach.
💡 Hint: Refer to the coordinates of the unit circle where sine is the y-coordinate and cosine is the x-coordinate.
Challenge and get performance evaluation