Prove the identity. = cos x + cot x

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 = cos x =  =  = 

Mathematics

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Use problem solving strategies to solve the problem.I'm thinking of a number between 4 and 10. If I square my number and find the difference of the digits, I will end up with the cube root of my number. What is my number?

A. 11 B. 8 C. 9 D. 14

Mathematics

Determine whether the pair of triangles is congruent. If congruent, state the property of congruence that applies (SSS, SAS, or ASA).

A. congruent; ASA B. not congruent C. congruent; SSS D. congruent; SAS

Mathematics

Simplify.a2 ? a3 ? a9

A. a15  B. a12 C. a5  D. a14 

Mathematics

A group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: (CAB) (BAC) (ABC) 9 10 16 ? Who wins using the Borda count method? Answer Alice, Betty, or Connie.Does this violate the Condorcet criterion? Answer yes or no.

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Mathematics