Verify the identity.cot 2 x + csc 2 x = 2 csc 2 x - 1

What will be an ideal response?


cot 2 x + csc 2 x = csc 2 x - 1 + csc 2 x = 2 csc 2 x - 1.

Mathematics

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Determine which region, I through VII, the indicated element belongs.During a special club meeting of the Garden Club, three items were voted on. The votes of nine members are shown in the table that follows. Determine in which region of the Venn diagram the member in question would be placed. The set labeled "Vote 1" represents the set of members who voted "yes" on vote 1, and so on.Patterson

A. II B. VI C. VII D. III

Mathematics

Solve the problem. Round your answer to the nearest tenth, if necessary.Two pipes together can fill a large tank in 10 hr. One of the pipes, used alone, takes 15 hr longer than the other to fill the tank. How long would each pipe take to fill the tank alone?

A. 25 hr; 40 hr B. 15 hr; 30 hr C. 10 hr; 25 hr D. 12.5 hr; 27.5 hr

Mathematics

Solve the equation.log3 x = 4

A. 1.26 B. 12 C. 81 D. 64

Mathematics

Differentiate.f(x) = 

A. f'(x) = x -  - 
B. f'(x) =  + 
C. f'(x) =  - 
D. f'(x) = 80 + 

Mathematics