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:

10^(@),/_MBA=20^(@),/_MAC=10^(@) si /_MCA=30^(@). Denonstrati el triungtial ARC este inowert.

10∘,∠MBA=20∘,∠MAC=10∘ 10^{\circ}, \angle M B A=20^{\circ}, \angle M A C=10^{\circ} si ∠MCA=30∘ \angle M C A=30^{\circ} . Denonstrati el triungtial ARC este inowert.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. 10∘,∠MBA=20∘,∠MAC=10∘ 10^{\circ}, \angle M B A=20^{\circ}, \angle M A C=10^{\circ} si ∠MCA=30∘ \angle M C A=30^{\circ} . Denonstrati el triungtial ARC este inowert.
  1. Find Angles of Triangle ARC: Find the angles of triangle ARC using the given information.\newlineGiven: ∠MBA=20∘\angle MBA = 20^\circ, ∠MAC=10∘\angle MAC = 10^\circ, and ∠MCA=30∘\angle MCA = 30^\circ.\newlineSince MBA and MAC are angles at point M, their sum will give angle BAC.\newline∠BAC=∠MBA+∠MAC=20∘+10∘=30∘\angle BAC = \angle MBA + \angle MAC = 20^\circ + 10^\circ = 30^\circ.
  2. Calculate Third Angle: Now, we know two angles of triangle ARC: ∠BAC=30∘\angle BAC = 30^\circ and ∠MCA=30∘\angle MCA = 30^\circ. The third angle ∠ACR\angle ACR can be found by knowing that the sum of angles in a triangle is 180∘180^\circ. ∠ACR=180∘−(∠BAC+∠MCA)=180∘−(30∘+30∘)=180∘−60∘=120∘\angle ACR = 180^\circ - (\angle BAC + \angle MCA) = 180^\circ - (30^\circ + 30^\circ) = 180^\circ - 60^\circ = 120^\circ.
  3. Check for Isosceles Triangle: Check if any two angles are equal to determine if the triangle is isosceles. ∠BAC=30∘\angle BAC = 30^\circ, ∠MCA=30∘\angle MCA = 30^\circ, and ∠ACR=120∘\angle ACR = 120^\circ. Since ∠BAC\angle BAC and ∠MCA\angle MCA are equal, triangle ARC is isosceles.

More problems from Csc, sec, and cot of special angles

Question
Find all solutions with 0∘≤θ≤180∘0^\circ \leq \theta \leq 180^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinecos⁡(θ)=−1\cos(\theta) = -1\newline‾∘\underline{\hspace{2em}}^\circ
Get tutor helpright-arrow

Posted 1 month ago

Question
Kimi's school is 1515 kilometers west of her house and 88 kilometers south of her friend Franklin's house. Every day, Kimi bicycles from her house to her school. After school, she bicycles from her school to Franklin's house. Before dinner, she bicycles home on a bike path that goes straight from Franklin's house to her own house. How far does Kimi bicycle each day?\newline_____\_\_\_\_\_ kilometers
Get tutor helpright-arrow

Posted 1 month ago

Question
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth.\newlinecos⁡35∘=\cos 35^\circ = __
Get tutor helpright-arrow

Posted 1 month ago

Question
Find all solutions with −90∘≤θ≤90∘-90^\circ \leq \theta \leq 90^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinecsc⁡(θ)=−1\csc(\theta) = -1\newline____ ∘\_\_\_\_\,^\circ
Get tutor helpright-arrow

Posted 1 month ago

Question
Evaluate. Write your answer in simplified, rationalized form. Do not round.\newlinecot⁡30∘=\cot 30^\circ = ______
Get tutor helpright-arrow

Posted 1 month ago

Question
The terminal side of an angle θ\theta in standard position intersects the unit circle at (8485,1385)(\frac{84}{85}, \frac{13}{85}). What is cos⁡(θ)\cos(\theta)?\newlineWrite your answer in simplified, rationalized form.\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
−90∘<θ<90∘-90^\circ < \theta < 90^\circ. Find the value of θ\theta in degrees.\newlinetan⁡(θ)=0\tan(\theta) = 0\newlineWrite your answer in simplified, rationalized form. Do not round.\newlineθ=\theta = ____∘^\circ\newline
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate. Write your answer in simplified, rationalized form. Do not round.\newlinecsc⁡60∘=\csc 60^\circ = ______
Get tutor helpright-arrow

Posted 1 month ago

Question
θ\theta is an acute angle. Find the value of θ\theta in degrees.\newlinesec⁡(θ)=2\sec(\theta) = \sqrt{2}\newlineθ=\theta = ____°\degree
Get tutor helpright-arrow

Posted 1 month ago

Question
Evaluate. Write your answer in simplified, rationalized form. Do not round.\newlinecos⁡90∘=\cos 90^\circ = ____
Get tutor helpright-arrow

Posted 2 months ago

View all (198)