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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define tangent and express it in terms of sine and cosine.
💡 Hint: Think about the definition of tangent related to the sides of a triangle.
Question 2
Easy
What is the value of \( \tan 45^\circ \)?
💡 Hint: Recall that sine and cosine for 45 degrees are equal.
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 relationship between tangent and sine?
- A. \\( \\tan \\theta = \\frac{\\cos \\theta}{\\sin \\theta} \\)
- B. \\( \\tan \\theta = \\frac{\\sin \\theta}{\\cos \\theta} \\)
- C. \\( \\tan \\theta = \\sin \\theta + \\cos \\theta \\)
💡 Hint: Think about the definition of tangent in terms of sine and cosine.
Question 2
Is \( \cot \theta = \frac{\sin \theta}{\cos \theta} \)?
- True
- False
💡 Hint: Recall the definitions of tangent and cotangent.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find \( \tan 60^\circ \) given \( \sin 60 = \frac{\sqrt{3}}{2} \) and \( \cos 60 = \frac{1}{2} \).
💡 Hint: Substitute the known sine and cosine values for the angle.
Question 2
If \( \sqrt{\frac{5}{13}} + \sqrt{\frac{8}{13}} = 1 \), how do you relate them to the Pythagorean identity?
💡 Hint: Use the definitions and square both sides.
Challenge and get performance evaluation