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:

Convert the angle theta=(17 pi)/(18) radians to degrees. Express your answer exactly. theta=◻" 。 "

Convert the angle θ=17π18 \theta=\frac{17 \pi}{18} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Find trigonometric ratios using a Pythagorean or reciprocal identityright chevron icon

Full solution

Q. Convert the angle θ=17π18 \theta=\frac{17 \pi}{18} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
  1. Understanding radians and degrees: Understand the relationship between radians and degrees.\newlineTo convert an angle from radians to degrees, we use the conversion factor that π\pi radians is equal to 180180 degrees.
  2. Setting up the conversion formula: Set up the conversion from radians to degrees for θ\theta.θ\theta in degrees = θ\theta in radians ×\times (180∘/π)(180^\circ/\pi)
  3. Substituting the given value: Substitute the given value of θ \theta in radians into the conversion formula.θ \theta in degrees = (17π18)×(180∘π) \left(\frac{17\pi}{18}\right) \times \left(\frac{180^\circ}{\pi}\right)
  4. Simplifying the expression: Simplify the expression by canceling out the π\pi terms and multiplying the remaining terms.θ\theta in degrees = (1718)×180∘\left(\frac{17}{18}\right) \times 180^\circ
  5. Performing the multiplication: Perform the multiplication to find the value of θ\theta in degrees.\newlineθ\theta in degrees = 17×10∘17 \times 10^\circ\newlineθ\theta in degrees = 170∘170^\circ

More problems from Find trigonometric ratios using a Pythagorean or reciprocal identity

Question
Convert the angle θ=9π5 \theta=\frac{9 \pi}{5} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=133π72 \theta=\frac{133 \pi}{72} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=14π9 \theta=\frac{14 \pi}{9} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=257π360 \theta=\frac{257 \pi}{360} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=29π15 \theta=\frac{29 \pi}{15} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=23π20 \theta=\frac{23 \pi}{20} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=5π12 \theta=\frac{5 \pi}{12} radians to degrees.\newlineExpress your answer exactly.\newlineθ=□∘ \theta=\square^{\circ}
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=70∘ \theta=70^{\circ} to radians.\newlineExpress your answer exactly.\newlineθ=□ radians  \theta=\square \text { radians }
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert the angle θ=290∘ \theta=290^{\circ} to radians.\newlineExpress your answer exactly.\newlineθ=□ radians  \theta=\square \text { radians }
Get tutor helpright-arrow

Posted 8 months ago

Question
ea77 problem-solving-and-data-analysis easier/xOfoc9898a5858ba33bea77 evaluating-statistical-claims e...\newlineg-\newlineTenor GiF Kejboard.\newlineDesmos | Scientific\newlineDashboard | Piktoc\newlineDesmos Classroom -\newlineKhan Academy\newlineDonate\newlineterrence.ash\newlinentastic consisten...\newline0505 streak\newlineLevel 66 (11)\newlineGoogle Classroom\newlineMicrosoft Teams\newline\begin{tabular}{lcccc} \newlineDonated to political campaigns? & Voted earfy & Voted on election day & Did not vote \\\newline\hline Yes & 2222 & 5959 & 00 \\\newlineNo & 3535 & 7171 & 9393\newline\end{tabular}\newlineIsaac asked his in-state friends how they voted in the last election and whether they donated to any political campaigns. The responses are summarized in the table. Of lsaac's in-state friends who did not donate to any political campaigns, how many voted on election day? □ \square \newlineShow calculator
Get tutor helpright-arrow

Posted 3 hours ago

View all (17)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant