Ask an Expert

# High school trigonometry questions and answers

Recent questions in Trigonometry
Trigonometric equation and identitie
ANSWERED
asked 2021-09-11

### Verify the identify. $$\displaystyle{\frac{{{1}+{\csc{{3}}}\beta}}{{{\sec{{3}}}\beta}}}-{\cot{{3}}}\beta={\cos{{3}}}\beta$$

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-10

### What is $$\displaystyle{4}{\cos{{45}}}°-{2}{\sin{{45}}}°$$?

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-10

### Given a right triangle. One cathetus is 100cm long. Find the length of the other cathetus, if the angle opposite to it is $$\displaystyle{71.6}^{\circ}$$. Round your answer to an integer.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-10

### A right triangle has a cathetus of 75m, which is opposite to the anfle of 40'. Find the adjustent cathetus to the 40' angle.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-10

### A right triangle with a side cathetuses equal to 12cm and 5 cm. Find the angle opposite to the cm side.

Trigonometric equation and identitie
ANSWERED
asked 2021-09-10

### Establish identity $$\displaystyle{\frac{{{\csc{\theta}}-{1}}}{{{\cot{\theta}}}}}={\frac{{{\cot{\theta}}}}{{{\csc{\theta}}+{1}}}}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-10

### Establish identity $$\displaystyle{\frac{{{\sec{\theta}}}}{{{\csc{\theta}}}}}+{\frac{{{\sin{\theta}}}}{{{\cos{\theta}}}}}={2}{\tan{\theta}}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-10

### Prove the trigonometry identitied $$\displaystyle{\frac{{{\sec{{A}}}}}{{{\sec{{A}}}-{1}}}}-{\frac{{{\sec{{A}}}+{1}}}{{{{\tan}^{{2}}{A}}}}}={1}$$

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-09

### The 5 feet wall stands 28 ft froom the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-09

### In $$\displaystyle\triangle{K}{L}{M}$$, the measure of $$\displaystyle\angle{M}={90}°$$, Lm = 1.1 feet, and KL = 4.2 feet. Find the measure of $$\displaystyle\angle{L}$$.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-09

### Given a right triangle, where one cathetus is $$\displaystyle\overline{{A}}={51}$$ m and the second cathetus is $$\displaystyle\overline{{B}}={39}$$ m. Find the hypothenuse $$\displaystyle{\left(\overline{{C}}\right)}$$ and the angle opposite to $$\displaystyle\overline{{B}}{\left(\angle{a}\right)}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-09

### Establish identity $$\displaystyle{9}{{\sec}^{{2}}\theta}-{5}{{\tan}^{{2}}\theta}={5}+{4}{{\sec}^{{2}}\theta}$$

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-08

### Given a right triangle, where the cathetuses are 1 cm and $$\sqrt3$$ cm. Find the hypothenuse's length.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-08

### Given a right triangle. The cathetuses are: 86m and 37m. Find the angle opposite to 86m cathetus.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-08

### Given a rectangle ($$\displaystyle{17.5}{c}{m}\times{26.2}{c}{m}$$). Find the angle between the longer side and the diagonal.

Trigonometric equation and identitie
ANSWERED
asked 2021-09-08

### Proof trigonometry identities. $$\displaystyle{\csc{{\left({x}\right)}}}+{\cot{{\left({x}\right)}}}={\frac{{{1}}}{{{\csc{{\left({x}\right)}}}-{\cot{{\left({x}\right)}}}}}}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-08

### Proof trigonometric identities. $$\displaystyle{{\tan}^{{4}}{\left({x}\right)}}-{\frac{{{1}}}{{{{\sec}^{{2}}{\left({x}\right)}}{\left({\tan{{\left({x}\right)}}}-{1}\right)}}}}={\tan{{\left({x}\right)}}}+{1}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-08

### Proof trigonometric identities. $$\displaystyle{{\sec}^{{2}}{\left({x}\right)}}+{{\csc}^{{2}}{\left({x}\right)}}={{\sec}^{{2}}{\left({x}\right)}}{{\csc}^{{2}}{\left({x}\right)}}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-07

### Verify the identity. $$\displaystyle{{\cot}^{{2}}\theta}-{{\cos}^{{2}}\theta}={{\cot}^{{2}}\theta}{{\cos}^{\theta}}$$

Trigonometric equation and identitie
ANSWERED
asked 2021-09-07

### Establish identity $$\displaystyle{}{\frac{{{{1-\sin}^{{2}}\theta}}}{{{1}-{\cos{\theta}}}}}=-{\cos{\theta}}$$

Dealing with Trigonometry problems, it is extremely difficult to find practice answers online, which is why our professional team decided to publish a list of questions with the answers to help you see the most common solutions and the formatting. If you need any kind of additional help, the safest way would be to compare your task with the provided examples.

By doing so, it is easy to spot a mistake that you may have. Meanwhile, have a look at our Trigonometry examples.

...