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# Trigonometry Answers Trigonometric Functions asked 2021-03-12

### When using the half-angle formulas for trigonometric functions of $$alpha/2$$, I determine the sign based on the quadrant in which $$alpha$$ lies.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Non-right triangles and trigonometry asked 2021-03-08

### Given: A parallelogram with diagonals equal to 56cm and 34cm. The intersect of the angles is $$\displaystyle{120}^{\circ}$$. Find the shorter side's length.

Right triangles and trigonometry asked 2021-03-08

### Diameter is 135 meters and makes one revolution every 30 minutes. Find a sinsuoid which models the height h of the passenger above the ground in meters t minutes after they board.

Trigonometric equation and identitie asked 2021-03-08

### solve the following equation for all values of x: $$\displaystyle{{\sin}^{{2}}{x}}+{\sin{{x}}}{\cos{{x}}}$$

Right triangles and trigonometry asked 2021-03-07

### Find the solution $$\displaystyle{\sin{{Y}}}={\cos{{\left({Y}+{20}°\right)}}}$$

Trigonometric Functions asked 2021-03-06

### $$\displaystyle{4}{{\cos}^{{2}}{x}}−{3}={0}$$

Trigonometric Functions asked 2021-03-06

### Given the values for sin t and cos t, use reciprocal and quotient identities to find the values of the other trigonometric functions of t. $$\displaystyle{\sin{{t}}}=\frac{{3}}{{4}}{\quad\text{and}\quad}{\cos{{t}}}=\frac{\sqrt{{7}}}{{4}}$$

Trigonometric Functions asked 2021-03-06

### Given the values for sin t and cos t, use reciprocal and quotient identities to find the values of the other trigonometric functions of t. $$\displaystyle{\sin{{t}}}=\frac{{3}}{{4}}{\quad\text{and}\quad}{\cos{{t}}}=\frac{\sqrt{{7}}}{{4}}$$

Trigonometric Functions asked 2021-03-06

### Sketch a right triangle corresponding to the trigonometric function of the acute angle theta. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of theta. $$\displaystyle{\cos{\theta}}=\frac{{21}}{{5}}$$

Trigonometric equation and identitie asked 2021-03-06

### Solve $$\displaystyle{{\tan}^{{2}}{x}}-{{\sin}^{{2}}{x}}={{\tan}^{{2}}{x}}{{\sin}^{{2}}{x}}$$

Trigonometric equation and identitie asked 2021-03-06

### Find the exact value of the expression. $$( tan25^(circ) +tan110^(circ))/(1-tan25^(circ)*tan110^(circ))$$

Trigonometric equation and identitie asked 2021-03-04

### Movement of a Pendulum A pendulum swings through an angle of 20∘ each second. If the pendulum is 40 inches long, how far does its tip move each second? Round answers to two decimal places.

Trigonometric Functions asked 2021-03-02

### Use the figures to find the exact value of the trigonometric function $$\displaystyle{\tan{{2}}}\theta$$. Trigonometric equation and identitie asked 2021-03-02

### How to prove the following: $$\displaystyle{{\tan}^{{2}}{x}}+{1}+{\tan{{x}}}{\sec{{x}}}={1}+\frac{{\sin{{x}}}}{{{\cos}^{{2}}{x}}}$$

Trigonometric Functions asked 2021-03-01

### Find the exact value of sin 60°.

Trigonometric Functions asked 2021-03-01

### You see that the shadow of a nearby 6-foot tall street sign is 3 feet 6 inches. You measure the shadow of the rock wall to be 22 feet 3 inches. What method can you use with this information to approximate the height of the rock wall? Approximate the height of the rock wall.

Trigonometric equation and identitie asked 2021-02-27

### Prove that $$\displaystyle{\text{sinh}{{\left({x}+{y}\right)}}}={\sin{{x}}}{\text{cosh}{{y}}}+{\text{cosh}{{x}}}{\text{sinh}{{y}}}$$

Trigonometric Functions asked 2021-02-25

### To further justify the Cofunction Theorem, use your calculator to find a value for the given pair of trigonometric functions. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. $$\displaystyle{{\sec{{6.7}}}^{\circ},}{\cos{{e}}}{c}{83.3}^{\circ}$$

Trigonometric equation and identitie asked 2021-02-25

### If $$\displaystyle{\cos{{x}}}=-\frac{{12}}{{13}}{\quad\text{and}\quad}{\csc{{x}}}{<}{0}$$, find $$\displaystyle{\cot{{\left({2}{x}\right)}}}$$

Trigonometric equation and identitie asked 2021-02-25

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