12. Find values of the constants A, B, C, and D that make the following equation an identity (i.e., true for all values of x). C 3x³+4x² - 6x (x² + 2x + 2)(x² - 1) = Ax + B x² + 2x + 2 + X- + D x+1

Q: Find cos x if (1, -3) is a point on the terminal side of x.

A: Given :             (1,-3) is a point on terminal side. To find :              The value of cos x.…

Q: 5. Prove that the given equation is an identity. Work down the page. If you run out of space, start…

A:

Q: 4. Evaluate y = sin¬1 (x) when x = 1 %3D O 37 2 -1

A:

Q: Use Euler’s formula to derive Euler’s Identity. Evaluate Euler’s formula with θ=π, simplify, and put…

A:

Q: 3. Verify each of the following identities. b. csc(20) = sec 0 csc 0 CSC

A:

Q: establish each identity.

A: sinα-cosβ2+cosβ + sinαcosβ-sinα

Q: verify that the equation is an identity by showing that each expression on the left simplifies to 1.…

A: The objective of the question is to verify the trigonometric identity (sin A)^2 + (cos A)^2 = 1.…

Q: Establish each identity.

A:

Q: 7. The expression 1+ cote csc A. sine + cos sine + cos B. sine 1+ cose C. sine D. 1+cose is…

A: Use trigonometric identity to simplify the expression.

Q: Using Euler's Theorem, find expressions for cose and sine in terms of eie and e-ie. You will use…

A: We have to express  and  in terms of  and .

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To prove identity: csc-x cos-x=-cotx Proof: We know that, csc-x=-cscx  and cos-x=cosx Simplifying…

Q: Find sin u and cos u if the given point lies on the terminal side of u.     (3,-4)

A: R=x2+y2sin u= y/Rcos u=x/R