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Prove? sin2x=2tanx/1+tan^2x

Prove? sin2x4cosxsin^3x = sin2xcos2x

Prove? cotxtanx = cos2x/sinxcosx

Prove? cotx = sin5x+sin7x / cos5xcos7x

Write sec theta  tan theta sin theta in terms of sin theta and cos theta; then simplify if possible. (Leave your answer in terms of sin theta and/or cos theta)?
See details for the problem

Add or subtract? Simplify your answer if possible. Leave your answer in terms of sin theta and/or cos theta
sin theta + 1/cos theta

A sector of area 25 in^2 is formed by a central angle of 4 radians. Find the radius of the circle?

A point P moves around a circle of r = 1ft at 20rpm (rotations per minute). Find the linear velocity (to the nearest feet per minute)?

How to solve sin5x = sin3x?

Write the complex number in trigonometric form? using both degrees and radians 1 − i

Convert all complex numbers to trigonometric form and then simplify the expression? Write the answer in standard form.

Convert all complex numbers to trigonometric form and then simplify the expression. Write the answer in standard form.?
#((2+2i)^5 (3+i)^3) /(sqrt 3+i)^10#

Find all x and y
(0 ≤ x < 2π, 0 ≤ y < 2π)
so that the following equation is true? (Enter your answers as a commaseparated list.)
#cosx+isiny=sinx+i#

Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. (Enter your answers as a commaseparated list.)? #3 sin^2 θ − 10 cos 2theta = 0#

Find all solutions if 0° ≤ θ < 360°. Verify your answer graphically. (Enter your answers as a commaseparated list.)? #sin 2θ = −1/2#

Find all solutions if 0° ≤ θ < 360°. Verify your answer graphically. (Enter your answers as a commaseparated list.)?
#cos 3θ = 1#