Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Use the information contained in the figure to determine the values of the six trigonometric functions of theta. Write the exact answers and simplify. Do not round. Answer 2 Points Keypad Keyboard Shortcuts

Use the information contained in the figure to determine the values of the six trigonometric functions of θ \theta . Write the exact answers and simplify. Do not round.\newlineAnswer 22 Points\newlineKeypad\newlineKeyboard Shortcuts

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Roots of integersright chevron icon

Full solution

Q. Use the information contained in the figure to determine the values of the six trigonometric functions of θ \theta . Write the exact answers and simplify. Do not round.\newlineAnswer 22 Points\newlineKeypad\newlineKeyboard Shortcuts
  1. Identify sides of triangle: Identify the sides of the right triangle relative to θ\theta: the opposite side (OO), the adjacent side (AA), and the hypotenuse (HH).
  2. Use Pythagorean theorem: Use the Pythagorean theorem to find the missing side if necessary. Since the figure is not provided, we'll assume the sides are given: O=3O = 3, A=4A = 4, and H=5H = 5.
  3. Calculate sine of theta: Calculate the sine of theta: sin⁡(θ)=OH=35.\sin(\theta) = \frac{O}{H} = \frac{3}{5}.
  4. Calculate cosine of theta: Calculate the cosine of theta: cos⁡(θ)=AH=45.\cos(\theta) = \frac{A}{H} = \frac{4}{5}.
  5. Calculate tangent of theta: Calculate the tangent of theta: tan⁡(θ)=OA=34.\tan(\theta) = \frac{O}{A} = \frac{3}{4}.
  6. Calculate cosecant of theta: Calculate the cosecant of theta: csc⁡(θ)=HO=53.\csc(\theta) = \frac{H}{O} = \frac{5}{3}.
  7. Calculate secant of theta: Calculate the secant of theta: sec⁡(θ)=HA=54.\sec(\theta) = \frac{H}{A} = \frac{5}{4}.
  8. Calculate cotangent of theta: Calculate the cotangent of theta: cot⁡(θ)=AO=43.\cot(\theta) = \frac{A}{O} = \frac{4}{3}.

More problems from Roots of integers

Question
Find the real-number root. \newline16\sqrt{16}\newline\newlineWrite your answer in simplified form. \newline____\_\_\_\_
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \newline`\sqrt{957} `\newline _______
Get tutor helpright-arrow

Posted 3 months ago

Question
Multiply. Write your answer in simplest form. \newline273×42\sqrt{273} \times \sqrt{42}\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. \newline634\sqrt{\frac{63}{4}}\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify. Rationalize the denominator.\newline−49−2\frac{-4}{9 - \sqrt{2}}\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for z z .\newline16=z 16 = \sqrt{z} \newlinez= z = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify the radical expression. 14x14 \sqrt{14x^{14}} Write your answer in the form A A , B \sqrt{B} , or AB A\sqrt{B} , where A A and B B are constants or expressions in x x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A A . ______
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify the radical expression.\newline12x12\sqrt{12x^{12}}\newlineWrite your answer in the form AA, B\sqrt{B}, or ABA\sqrt{B}, where AA and BB are constants or expressions in xx. Use at most one radical in your answer, and at most one absolute value symbol in your expression for AA.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the value of sin⁡(5π6)? \sin \left(\frac{5 \pi}{6}\right) ? \newlineChoose 11 answer:\newline(A) −32 -\frac{\sqrt{3}}{2} \newline(B) −22 -\frac{\sqrt{2}}{2} \newline(C) 12 \frac{1}{2} \newline(D) 150150
Get tutor helpright-arrow

Posted 4 months ago

View all (71)