Precalculus Solutions | Expert Assistance for Problems & Examples

Find the value of $α$ given
$2 \sin θ - \sqrt{5} \cos θ \equiv - 3 \cos (θ + α)$

Jamelia Daniels 2022-02-28

How to prove
$\sum_{n = 1}^{\infty} \frac{\sin n}{n} = \frac{π - 1}{2}$

sweetrainyday8s2 2022-02-28

Find all the solutions of
$\sin^{5} x + \cos^{3} x = 1$

sweetrainyday8s2 2022-02-28

I am stuck with the simple expression
$\frac{\cos^{2} (θ + α)}{1 - \cos^{2} (θ - α)} = const.$
where $θ$ is a variable and $α$ is the number satisfying
$α = \tan^{- 1} (\frac{4}{3})$

Akash Matthews 2022-02-28

What is the range of the function
$\frac{\sqrt{3} \sin x}{2 + \cos x}$

Umaiza Hutton 2022-02-28

How do you prove this?
$\frac{{(1 - 2 \sin^{2} A)}^{2}}{\cos^{4} A - \sin^{4} A} = 2 \cos^{2} A - 1$

Bruce Partridge 2022-02-28

How am I supposed to prove this inequality?
$\tan (1) \leq \sum_{k = 1}^{\infty} \frac{\sin (\frac{1}{k^{2}})}{\cos^{2} (\frac{1}{k + 1})}$

Zaccagliaodi 2022-02-28

Prove that
$\tan^{- 1} \frac{y z}{x r} + \tan^{- 1} \frac{z x}{y r} + \tan^{- 1} \frac{x y}{z r} = \frac{π}{2}$
where $x^{2} + y^{2} + z^{2} = r^{2}$

Krystian Quintero 2022-02-28

It is known that
$\sqrt{9 - 8 {\sin 50}^{\circ}} = a + b {\sin c}^{\circ}$

oskrnavih92j 2022-02-28

Is there an easy way to prove the identity?
$\cos (\frac{π}{7}) - \cos (\frac{2 π}{7}) + \cos (\frac{3 π}{7}) = \cos (\frac{π}{3})$

Asiya Holder 2022-02-28

How do I prove:
$\cos (θ + 90^{\circ}) \equiv - \sin θ$

Ausanioyck 2022-02-28

Get the function value if $\sin x = \frac{2}{\sqrt{13}}$ and $\cos x = - \frac{3}{\sqrt{13}}$ and the function value is going to be calculated from $\sin (2 x - \frac{7 π}{6})$

Tagiuraoob 2022-02-28

Solve the equation:
$\int 2^{x} \tan^{9} (x^{2}) \sec (x^{2}) d x$

blakkazn924e4y 2022-02-28

Simplify the expression
$\sqrt{{(1 - \cos α \cos β)}^{2} - \sin^{2} α \sin^{2} β}$

dubinskemab 2022-02-28

How would I solve the following trig equation?
$\sin^{2} x = 1 - \cos x$

Carole Juarez 2022-02-28

Verify that
$2 \cos^{2} x - 1 = \frac{1 - \tan^{2} x}{1 + \tan^{2} x}$

zhengzhenyuan4nf 2022-02-28

Verify the following:
$\frac{2 \cot x}{\tan 2 x} = \csc^{2} x - 2$

Phoebe Xiong 2022-02-28

Given $x \geq y \geq z \geq \frac{π}{12}, x + y + z = \frac{π}{2}$ , find the maximum and minimum of $\cos x \sin y \cos z$

Cobie Sadler 2022-02-28

Prove that if $ϕ$ is not equal to $2 k π$ for any integer k, then
$\sum_{t = 0}^{n} \sin (θ + t ϕ) = \frac{\sin (n + 1) ϕ}{2}) \sin (θ + \frac{n ϕ}{2})} {\sin (\frac{ϕ}{2})}$

demonlikw4 2022-02-27

I want to show that
$\cos \frac{2 π}{5} + \cos \frac{4 π}{5} = - \frac{1}{2}, \cos (2 \frac{π}{5}) \cos (4 \frac{π}{5}) = - \frac{1}{4}$

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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