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ID: 2919945 • Letter: E

Question

egurine Luka V4x(Des x 4a Google Drive-Virus scan, x4, Google Drne . Virus scar x PonPomPo D Do Homework - Anna Slawnikowski - Google Chrome Secure https://www. maths com Student playe Homework aspchomeworkid=476012121? Trigonometry (1) Homework: 2.5 Homework Score: 0 of 2 pts 3.5.19 5 of 12 (6 complete) Use a sum or difference formula to find the exact value of the trigonometric function 11 12 COS 1 11x (Simplity your answer, including any radicals. Use integers or fractions for any numbers in the expressio Enter your answer in the answer box and then click Check Answor ava All parts showing Clear A

Explanation / Answer

cos 11pi/12

cos ( 2pi/3 + pi/4 )

applying sum formula

cos ( 2pi/3 + pi/4 ) = cos 2pi/3 cos pi/4 - sin 2pi/3 sin pi/4

( -1/2 * sqrt 2/2 ) - ( sqrt 3/2 * sqrt 2/2 )

= - sqrt 2 / 4 - sqrt 6 / 4

cos 11pi/12 = - ( sqrt 2 + sqrt 6 ) / 4