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CBSE Class 12-science Answered

prove that :sin-3x/5+sin-4x/5=sin-x    
Asked by poojaparmar065 | 15 Sep, 2014, 11:04: AM
answered-by-expert Expert Answer
sin space to the power of minus 1 end exponent space open parentheses fraction numerator 3 x over denominator 5 end fraction close parentheses space plus space sin space to the power of minus 1 end exponent space open parentheses fraction numerator 4 x over denominator 5 end fraction close parentheses L e t space A space equals space sin space to the power of minus 1 end exponent space open parentheses fraction numerator 3 x over denominator 5 end fraction close parentheses comma space B space equals space sin space to the power of minus 1 end exponent space open parentheses fraction numerator 4 x over denominator 5 end fraction close parentheses s o comma space s i n space A space equals space fraction numerator 3 x over denominator 5 end fraction comma space sin space B equals fraction numerator 4 x over denominator 5 end fraction S i n space left parenthesis A plus B right parenthesis equals S i n space A space C o s space B space plus thin space C o s space A space S I n space B S I n space left parenthesis A plus B right parenthesis space equals space fraction numerator 3 x over denominator 5 end fraction cross times fraction numerator 3 x over denominator 5 end fraction plus fraction numerator 4 x over denominator 5 end fraction cross times fraction numerator 4 x over denominator 5 end fraction equals fraction numerator 25 x over denominator 25 end fraction equals x S i n space left parenthesis A plus B right parenthesis equals x A plus B space equals space S i n space to the power of minus 1 end exponent space x S u b s t i t u t e space t h e space v a l u e s space o f space A space a n d space B comma space w e space g e t sin space to the power of minus 1 end exponent space open parentheses fraction numerator 3 x over denominator 5 end fraction close parentheses space plus space sin space to the power of minus 1 end exponent space open parentheses fraction numerator 4 x over denominator 5 end fraction close parentheses equals sin space to the power of minus 1 end exponent space x H e n c e space P r o v e d
Answered by Dharma Teja | 16 Sep, 2014, 10:17: AM

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CBSE 12-science - Maths
solve it
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Asked by sdmbotch1123 | 19 Sep, 2023, 01:53: PM
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CBSE 12-science - Maths
Solve it pls.
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Asked by sdmbotch1123 | 10 Apr, 2023, 10:55: PM
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CBSE 12-science - Maths
Evaluate 3 sin -1 (1/root 2) + 2 cos -1 (root3/2) + cos-1(0)
Asked by varma.renu9481 | 13 Mar, 2023, 11:51: AM
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CBSE 12-science - Maths
Sin^-1x = cos^-1x, 0<x<1. Solve  
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Asked by w3ctiger | 12 Feb, 2023, 11:55: AM
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CBSE 12-science - Maths
tan¹x + tan¹y=π+tan¹(x+y/1-xy), xy>1;x, y>0
Asked by joymaibam38 | 26 Dec, 2021, 09:04: AM
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CBSE 12-science - Maths
peinciple branch od sec -¹ x
Asked by naikmanjuank | 17 Sep, 2020, 11:48: AM
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CBSE 12-science - Maths
tan^-1x-1/x-2+tan^-1x+1/x+2=pi/4.find value of x.   
Asked by sshas3199 | 23 Aug, 2020, 09:24: PM
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CBSE 12-science - Maths
  Consider the equation . Choose the CORRECT option(s). The sum of all solutions = 0< The number of solutions = 2< The number of solution = 1< The sum of squares of all solutions = 1<
Asked by harshsharma2531 | 09 Aug, 2020, 09:28: AM
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CBSE 12-science - Maths
Sin(sin-11/5+cos-1x)=1 Find value of x?
Asked by raiannu064 | 16 Jan, 2020, 01:03: PM
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CBSE 12-science - Maths
Plz solve (x) part Find the value of x
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Asked by lovemaan5500 | 04 Jan, 2020, 11:12: PM
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