Evaluate 1 + Sin X /1-sin X [Solved] - Cuemath

GradeKG1st2nd3rd4th5th6th7th8thPricingWhy Cuemath?About UsOur ImpactBlogsFAQsAlready booked a tutor?Book A FREE ClassGradeKG1st2nd3rd4th5th6th7th8thPricingWhy Cuemath?About UsOur ImpactBlogsFAQs Evaluate 1 + sin x /1-sin x

Trignometric ratios is the study of the relation between the sides and angles of a right-angled triangle.

Answer: (1+sinx) /(1-sinx) =(sec x + tan x )2

Let see, how we can solve

Explanation:

To evaluate: (1+sin) /(1-sinx)

We will multiply and divide the expression ( 1+sin) /(1-sinx) by (1 + sinx)

Thus, we get

(1 + sinx) (1 + sinx) / (1 – sinx) (1 + sinx) ,

=(1 + sinx)2 /(1 - sin2x) ------------- (1) ( By using identity (a-b) (a+b) = (a2-b2))

As we know that,

sin2x + cos2x = 1

So, we can write it as

1 – sin2x = cos2x

Replacing the denominator of (1) we get,

= (1 + sin x)2 / cos2x

= ( (1 + sin x) / cos x) 2

= ( 1/cos x + sin x/cos x)2

We know that, 1/cosx = sec x and sin x/cos x = tan x

Thus, we have

= (sec x + tan x )2

Thus, 1 + sin x /1-sin x= (sec x + tan x )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 JourneyOur TutorsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur JourneyOur TutorsFAQsPricingOUR PROGRAMSMath TutorsCueprepOUR PROGRAMS+Math TutorsCueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesEVENTSMath FestsMath WebinarsEVENTS+Math FestsMath WebinarsMATH 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 JourneyOur TutorsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur JourneyOur TutorsFAQsPricingOUR PROGRAMSMath TutorsCueprepOUR PROGRAMS+Math TutorsCueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesEVENTSMath FestsMath WebinarsEVENTS+Math FestsMath WebinarsMATH 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