### Trigonometric Equations

Find theta that satisfies the following equation: sin(2theta)sin(theta) = cos(theta)

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Find theta that satisfies the following equation: sin(2theta)sin(theta) = cos(theta)

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See attached please

Use an identity to write each expression with a single trigonometric function. see attached

Write each expression as a sum or difference of trigonometric functions (See attached file for full problem description) sin(4x)* sin(5x)

(See attached file for full problem description) use cosine difference identity cos(A-B)

Used identities to find each exact value (See attached file for full problem description)

Simplify to a constant, single function or a power of a function. Use the fundamental identities to simplify. (See attached file for full problem description)

Perform each indicated operation and simplify the result. See attached file for full problem description.

Amplitude, period and shift of function. See attached file for full problem description.

See attached

(See attached file for full problem description)

(See attached file for full problem description) Solve for the tan and cot.

(See attached file for full problem description) Let be a complex number, and assume the identity where are positive real numbers. By expanding the tan function, show that if , then is approximately equal to for some integer

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(See attached file for full problem description) Write equivalent equations in the form of inverse functions for.... Verify the identity....

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What are the antiderivatives of: COS^2 theta and SIN^2 theta and how did you find these antiderivatives.

Limit x-->0 of a trigonometric inverse function is to be found.

Parametric equations of a curve are given. The task is to Prove that tangent is parallel to x-axis and the equation to the tangent as given in the question. File attached in word format.