Use a sum-to-product identity to simplify the expression below. Do not use a calculator. cosine, left parenthesis, 7, pi, slash, 12, right parenthesis, plus, cosine, left parenthesis, pi, slash, 12, right parenthesiscos(7π/12)+cos(π/12)
Added by Richard B.
Step 1
Use the sum-to-product identity: cos A + cos B = 2 cos((A+B)/2) cos((A−B)/2). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Uma Kumari and 70 other Algebra and Trigonometry 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
Rewrite each expression as a product. Simplify if possible. $\cos \frac{\pi}{12}+\cos \frac{7 \pi}{12}$
Identities and Formulas
Additional Identities
Find the exact value of the trigonometric expression without the use of a calculator. sin(pi/12) cos(7pi/12) + cos(pi/12) sin(7pi/12) =
Lauren S.
Use a product-to-sum formula to convert each expression to a sum or difference. Simplify where possible. $$\sin \frac{7 \pi}{12} \cos \frac{\pi}{12}$$
Analytical Trigonometry
The Product-to-Sum and Sum-to-Product Formulas
Recommended Textbooks
Introductory and Intermediate Algebra for College Students 4th
Prealgebra
Prealgebra and Introductory Algebra
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD