Find The Terminal Point P(x, Y) On The Unit Circle Determined By The ...

Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = -π/6

Solution:

Any point P(x, y) on a circle of radius ‘r’ and centred at origin is given by (rcosθ, rsinθ) where θ is a parameter.

Also θ can be replaced by ‘t’ when t is the parameter.

Here, t = - π/6 and r = 1

P(x, y) = [(1)cos(-π/6), (1) sin (-π/6)]

P(x, y) = [cos(π/6), -sin(π/6)]

P(x, y) = [√3/2, -1/2]

Example:

Find the terminal point P(x, y) on the circle of radius 2 units determined by the given value of t. t = 3π/4

Solution:

Any point P(x, y) on a circle of radius ‘r’ and centred at origin is given by (rcosθ, rsinθ), where θ is a parameter.

Also θ can be replaced by ‘t’ when t is the parameter.

Here, t = -3π/4 and r = 2

P(x, y) = [(2)cos(3π/4), (2)sin (3π/4)]

P(x, y) = [2(-1/√2), 2(1/√2)]

P(x, y) =(-√2, √2)

Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = -π/6

Summary:

The terminal point P(x, y) on the unit circle determined by the given value of t, t = -π/6 is [√3/2, -1/2].

Explore math programMath worksheets and visual curriculumBook a FREE ClassBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHUS OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009US OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009Terms & conditionsPrivacy PolicyTerms & conditionsPrivacy PolicyABOUT CUEMATHAbout UsOur ImpactOur TutorsOur ReviewsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur TutorsOur ReviewsFAQsPricingOUR PROGRAMSCueprepOUR PROGRAMS+CueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationMATH TUTORINGOnline Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaMATH TUTORING+Online Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHABOUT CUEMATHAbout UsOur ImpactOur TutorsOur ReviewsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur TutorsOur ReviewsFAQsPricingOUR PROGRAMSCueprepOUR PROGRAMS+CueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationMATH TUTORINGOnline Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaMATH TUTORING+Online Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaUS OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009US OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009Terms & conditionsPrivacy PolicyTerms & conditionsPrivacy Policy