# Recent questions in Trigonometric Functions

Trigonometric Functions

### $$\displaystyle\frac{{{1}+{\cos{{x}}}}}{{\sin{{x}}}}={\csc{{x}}}+{\cot{{x}}}$$

Trigonometric Functions

### The terminal side of an angle $$\theta$$ in standard position intersects the unit circle at $$\displaystyle{\left(\frac{{5}}{{13}},\frac{{12}}{{13}}\right)}$$. What is $$\sin (\theta)$$? Write your answer in simplified, rationalized form.

Trigonometric Functions

### $$\tan 28^{\circ} = \cot ?$$

Trigonometric Functions

### $$\displaystyle{\tan{{\left({x}\right)}}}{\sin{{\left({x}\right)}}}+{\sec{{\left({x}\right)}}}{{\cos}^{{2}}{\left({x}\right)}}={\sec{{\left({x}\right)}}}$$

Trigonometric Functions

### $$\displaystyle\frac{{\sin{{\left({a}-{b}\right)}}}}{{\cos{{a}}}}{\cos{{b}}}={\tan{{a}}}-{\tan{{b}}}$$

Trigonometric Functions

### If $$A = 40^{\circ}, B = 60^{\circ}$$, and $$a = 20$$, find b.

Trigonometric Functions

### $$\displaystyle\frac{{{\tan{ Trigonometric Functions ANSWERED asked 2021-06-04 ### \(\displaystyle{\sin{{\left({2}{{\cos}^{{-{{1}}}}\cdot}{\left(\frac{{\sqrt{{2}}}}{{2}}\right)}\right.}}}$$

Trigonometric Functions

### Identify the surface whose equation is given. $$p=\sin\theta\sin\phi$$

Trigonometric Functions

### Use trigonometric identities to transform the left side of the equation into the right side. $$\tan \theta \cot \theta = 1$$

Trigonometric Functions

### $$\displaystyle{\cos{{a}}}=\frac{{1}}{{3}}$$ $$\displaystyle{\sec{{a}}}$$

Trigonometric Functions

### $$\displaystyle{\sin{ Trigonometric Functions ANSWERED asked 2021-05-28 ### Given that \(\displaystyle{f{{\left({x}\right)}}}={\cos{{x}}}$$, show that $$\displaystyle\frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}}={\cos{{x}}}{\left(\frac{{{\text{cosh}{-}}{1}}}{{h}}\right)}+{\sin{{x}}}{\left(\frac{{\text{sinh}}}{{h}}\right)}$$

Trigonometric Functions

### Given that $$\displaystyle{\cos{ Trigonometric Functions ANSWERED asked 2021-05-21 ### \(\displaystyle{4}{\sin{{x}}}+{2}={0};{\left[{0},{2}π\right)}$$

Trigonometric Functions

### Prove that $$\displaystyle{1}-{\left(\frac{{{\cos}^{{2}}{\left({x}\right)}}}{{1}}+{\sin{{\left({x}\right)}}}\right)}$$

Trigonometric Functions

### Find the exact length of the curve $$x=\frac{y^4}{8}+\frac{1}{4y^2}\quad1\leq y\leq2$$

Trigonometric Functions

### To find the equation: $$\displaystyle\frac{{ \sin{{x}}+ \sin{{x}} \tan{{x}}}}{{{1}+ \tan{{x}}}}= \sin{{x}}$$

Trigonometric Functions