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CBSE Class 10 Answered

If 7tan Φ = 4, then find the value of 7sinΦ - 3cos Φ 
                                                              —————————
                                                               7sinΦ + 3cos,Φ  .
Asked by pdcavita | 18 Nov, 2017, 11:27: AM
answered-by-expert Expert Answer
begin mathsize 16px style 7 space tan space empty set equals 4
fraction numerator 7 sin empty set minus 3 cos empty set over denominator 7 sin empty set plus 3 cos empty set end fraction
equals fraction numerator 7 begin display style fraction numerator sin empty set over denominator cos empty set end fraction end style minus 3 begin display style fraction numerator cos empty set over denominator cos empty set end fraction end style over denominator 7 fraction numerator sin empty set over denominator cos empty set end fraction plus 3 fraction numerator cos empty set over denominator cos empty set end fraction end fraction
equals fraction numerator 7 tan empty set minus 3 over denominator 7 tan empty set plus 3 end fraction
equals fraction numerator 4 minus 3 over denominator 4 plus 3 end fraction
equals 1 over 7 end style
Answered by Rashmi Khot | 20 Dec, 2017, 11:04: AM
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