7.4 - Relations Between Ratios
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
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.
What is the value of \( \tan 45^\circ \)?
💡 Hint: Recall that sine and cosine for 45 degrees are equal.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between tangent and sine?
💡 Hint: Think about the definition of tangent in terms of sine and cosine.
Is \( \cot \theta = \frac{\sin \theta}{\cos \theta} \)?
💡 Hint: Recall the definitions of tangent and cotangent.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.