Precalculus Solutions | Expert Assistance for Problems & Examples

How do you prove this identity:
$\ln | \frac{\sin x}{\cos x - 1} | = \ln | \frac{\cos x + 1}{\sin x} |$

iristh3virusoo2 2022-02-28

How does one get the following equalities ?
$1 + \tan x = \frac{\sin (\frac{π}{4} + x)}{\cos \frac{π}{4} \cos x} = \sqrt{2} \frac{\cos (\frac{π}{4} - x)}{\cos x}$

Adrienne Rowe 2022-02-28

Help me to prove that
$\arcsin (\sqrt{2} \sin (t)) + \arcsin (\sqrt{\cos (2 t)}) = \frac{π}{2}$

Madihah Woodard 2022-02-28

How to solve the following equation?
$\tan x = \tan (x + 10^{\circ}) \tan (x + 20^{\circ}) \tan (x + 30^{\circ})$

Umaiza Hutton 2022-02-28

How can I integrate the following:
$\frac{1}{b^{2}} \int_{0}^{\infty} z^{- 2} exp (- a z) \sin^{2} (b z) d z$
for $a, b > 0$ ?

OIPLZLqm6 2022-02-28

I have given this:
$\frac{1}{8} \cot (\frac{t}{2}) \csc^{2} (\frac{t}{2}) \csc (t)$
And I have to show that it is that:
$\frac{1}{16} \csc^{4} (\frac{t}{2})$
How do I do this?

bittercynicn7f 2022-02-28

Please help me prove the identity:
$\cos^{2} a - \cos^{4} a + \sin^{4} a = \frac{1}{2} - \frac{1}{2} \cos 2 a$

fecundavai3c 2022-02-28

How can the tangent addition theorem for complex numbers
$\tan (z + w) = \frac{\tan z + \tan w}{1 - \tan z \tan w}$
be proved?

Abiha Bellamy 2022-02-28

Does the equation
$a \cdot \cos (θ) - b \cdot \sin (θ) = c$
have a closed-form solution for $θ$ ?

Casertowm7 2022-02-28

How Would I verify the following identity.
$\frac{(\sec A - \csc A)}{(\sec A + \csc A)} = \frac{(\tan A - 1)}{(\tan A + 1)}$

haugmbd 2022-02-28

I am trying to solve $\sqrt{3} \tan θ = 2 \sin θ$ on the interval $[- π, π]$ .

SnuluddidaPalbx4 2022-02-28

How do I simplify the expression of
$\cos (2 x + 3 x) \cos x + \sin (3 x) \cos (\frac{x}{2} + x)$ ?

Bradlee Hooper 2022-02-28

Determine convergence of
$\sum_{n = 1}^{\infty} (\cos \frac{2}{n} - \cos \frac{4}{n})$

ennuvolat4gv 2022-02-28

How do I prove that $\sin (\frac{π}{2} + i y) = \frac{1}{2} (e^{y} + e^{- y}) = cosh y$ ?

rhita3yp 2022-02-28

How do we prove $\cos (\frac{π}{5}) - \cos (2 \frac{π}{5}) = 0.5$ without using a calculator.

kasapi0lm 2022-02-28

How to find
$\int_{\frac{π}{2}}^{\frac{π}{4}} \cot^{5} x \csc^{3} x d x$

Reginald Owens 2022-02-28

Evaluate the integral using trigonometric substitutions.
$\int \frac{x}{\sqrt{3 - 2 x - x^{2}}} d x$

sunyerneq 2022-02-28

I have a function in the form of:
$\cos^{- 1} (\frac{a^{2} + b x^{2}}{2 a b x}) + \cos^{- 1} (\frac{c^{2} + {d x}^{2}}{2 c d x}) = e$

Sahar Bowden 2022-02-28

I have the following type of equation which I wish to solve for t:
$\frac{x}{\cos t} - \frac{y}{\sin t} = z$

klancimarsn 2022-02-28

I need to provide a simplified version of this expression for a homework:
$\frac{\cos^{3} x - 2 \cdot \cos x + \sec x}{\cos x \cdot \sin^{2} x}$

Precalculus problems and solutions are hard to find online even though this topic is quite popular among college students majoring in Engineering. Keeping this fact in mind, we decided to provide you with a list of questions and answers that will help you with various precalculus problems. Regardless if it is related to equations or any other problem, these precalculus problems and composite functions examples and solutions below will help you see the logic and compare solutions as you check your original task.

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