Question
$$\text { If } \cos (A+B) \sin (C+D)=\cos (A-B) \sin (C-D), \text { prove that } \cot A \cot B \cot C=\cot D \text { . }$$
Step 1
\] Show more…
Show all steps
Your feedback will help us improve your experience
Suman Saurav Thakur and 95 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Verify that $\cos (A+B+C)=\cos A \cos B \cos C-$ $\sin A \sin B \cos C-\sin A \cos B \sin C-\cos A \sin B \sin C$
Analytic Trigonometry
Sum and Difference ldentities
Verify that $\sin (A+B+C)=\sin A \cos B \cos C+$ $\cos A \sin B \cos C+\cos A \cos B \sin C-\sin A \sin B \sin C$
Prove the identities. $$\cot (A-B)=\frac{\cot A \cot B+1}{\cot B-\cot A}$$
Analytical Trigonometry
The Addition Formulas
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD