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1. Find 8, r, and when 1.5 cos0+ 2.5sin 0=2.8. √² +6² r = e o 0: atan2(a, b) =

1. Find 8, r, and when 1.5 cos0+ 2.5sin 0=2.8. √² +6² r = e o 0: atan2(a, b) =

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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**Transcription for Educational Website** **Problem 1:** Find the values of θ, r, and φ given the equation: \[ 1.5 \cos \theta + 2.5 \sin \theta = 2.8 \] **Formulas:** - \( r = \sqrt{a^2 + b^2} = \) - \( \phi = \text{atan2}(a, b) = \) - \( \theta = \) **Explanation:** - **\( r \) Formula:** This represents the magnitude, calculated using the Pythagorean theorem for \( a \) and \( b \). - **\( \phi \) Formula:** This is the angle whose tangent is the quotient of two specified numbers, calculated using the `atan2` function which considers the signs of both variables to determine the quadrant of the angle. Fill in the blanks using the given equation and solve for the variables.
Transcribed Image Text:**Transcription for Educational Website** **Problem 1:** Find the values of θ, r, and φ given the equation: \[ 1.5 \cos \theta + 2.5 \sin \theta = 2.8 \] **Formulas:** - \( r = \sqrt{a^2 + b^2} = \) - \( \phi = \text{atan2}(a, b) = \) - \( \theta = \) **Explanation:** - **\( r \) Formula:** This represents the magnitude, calculated using the Pythagorean theorem for \( a \) and \( b \). - **\( \phi \) Formula:** This is the angle whose tangent is the quotient of two specified numbers, calculated using the `atan2` function which considers the signs of both variables to determine the quadrant of the angle. Fill in the blanks using the given equation and solve for the variables.
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