Answer to: What is the integral of sec(2x)? By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also...

Use the quotient rule of derivative to show that the derivative of the function tan x is sec^2 x, i.e., frac{d}{dx} tan x = sec^2 x. Derive the formula for the derivative with respect to x of: a) sec(x).

That is, f(g(x)) = (sec x) 2 = sec 2 x, making it a composition of functions, or a function within a function. The chain rule in symbol form is as follows. The Chain Rule

Rewrite the expression tan^5 (2x) sec^2 (2x) entirely in terms of tangent. Use the fundamental identities to simplify the expression. sin cos sec csc a. csc^2 b. sec^2 c. 1 d. tan^2

Answer to: Prove :sec^4x-tan^2x=tan^4x+sec^2x By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...

How to integrate {eq}\frac{1}{sec^{2}(x)} {/eq} Integral Formulas for Trigonometric Functions: A nice thing when it comes to evaluating integrals is that once you've found an indefinite integral of a given function, you can use that formula to evaluate other integrals.

Integrate integral sec^4 2x dx Hint: 1 + tan^2 x =sec^2 x Find the indefinite integral: \int (sec^2 t - 6) \ dt Find the indefinite integral \int 7 \sec^2 xe^{\tan x} dx.

Verify cos 2x = (2 - sec^2 x)/(sec^2 x). Use the fundamental trigonometric identities to simplify the expression. There is more than one correct form of the answer. sec^2 (-theta) / csc^2 theta

Verify whether the following equation is an identity. tan^4 x - sec^4 x = 1 - 2 sec^2x; Show that y = \sec^2x and y = \tan^2x have the same derivative. What can you say about y = \sec^2x - \tan^2x? Verify the identity. Only work with the left side! csc^4 x/ sec^2 x = (csc^2 x - …

Show that y = \sec^2x and y = \tan^2x have the same derivative. What can you say about y = \sec^2x - \tan^2x? If y = sin x is a solution of the equation y' = y^2 csc^2 x + y cot x - 1, find the general solution.