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## Step 1: Write down the given equation The given equation is: (Cos θ - sin θ) / (Cos θ + sin θ) = (1 - √3) / (1 + √3) ## Step 2: Cross multiply Cross multiplying the given equation: (Cos θ - sin θ)(1 + √3) = (Cos θ + sin θ)(1 - √3) ## 3: Expand both sides Expanding both sides: Cos θ + √3 Cos θ - sin θ - √3 sin θ = Cos θ - √3 Cos θ + sin θ - √3 sin θ ## 4: Simplify the equation Simplifying the equation: √3 Cos θ - sin θ = - √3 Cos θ + sin θ ## 5: Collect like terms Collecting like terms: √3 Cos θ + √3 Cos θ = sin θ + sin θ 2√3 Cos θ = 2 sin θ ## 6: Divide by 2 Dividing by 2: √3 Cos θ = sin θ ## 7: Divide by Cos θ Dividing by Cos θ: √3 = tan θ ## 8: Find the angle Finding the angle: θ = arctan(√3) ## 9: Recall trigonometric values Recalling trigonometric values: We know that tan(60°) = √3 ## 10: Determine the angle Determining the angle: θ = 60° ## 11: Ensure it's an acute angle Ensuring it's an acute angle: Since 60° is less than 90°, it is an acute angle. The acute angle θ is 60°.Anita Singh🙏 1 karmaJul 22, 2025@Maths aiThis tool is best.
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Solve Math Problems Instantly with AI-Powered Step-by-Step ExplanationsOpenI like the AI Math Solver for my math problem. -
Math AI has revolutionized how I approach complex mathematical problems. Whether it's statistics or advanced calculus, Math AI provides clear, detailed solutions. The best part is how it explains related concepts!
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Can’t solve basic problems of a 4th grader, of triangle and adjacent angles.
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The tutor mode is amazing. It helped me understand the equation and how I can solve it step by step with the explanation.
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For some problems, it does a good job of calculations and video explanation. However, for some, the drawings are not correct, and it left out a part of the calculation in the video (although it does calculate correctly at least). This would be confusing. An example was where I asked it to calculate the area of a circle inside of a right-angle triangle. It drew the circle outside of the triangle, and then in the calculation, it did not have the square root of a^2 b^2 to find c, but at least did that. If the tool is to be effective, it needs to be clear and accurate in order to not create further misconceptions.
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It solved a tricky question at the first instance. Although, when I asked this question again, it missed it just by an inch. 4/5, highly recommended.
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Great AI, provides correct solutions 98.9% of the time.
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Such a nice tool. I uploaded a few integrals that had me completely stuck and it solved them INSTANTLY, with step by step super clear explanations. Great tool if you’re struggling with math
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Tested bot with a 15 questions linkedin quiz on product management, bot failed (You scored 60%. You need 70% to pass this exam. Don’t give up! Try reviewing the course to refresh your learning, then retake the exam. Return to course Retake exam)..
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