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Maharashtra Class 10 Answered

Prove that ,tan thita/sec thita-1=tan thita+sec this+1/tan this+sec thita-1
Asked by pandeydn4332 | 21 Sep, 2018, 11:52: PM
answered-by-expert Expert Answer
1 + tan2 θ = sec2 θ
tan2 θ = sec2 θ - 1
tan θ × tan θ = (sec θ + 1)(sec θ - 1)
fraction numerator size 16px tanθ over denominator size 16px secθ size 16px minus size 16px 1 end fraction size 16px equals fraction numerator size 16px secθ size 16px plus size 16px 1 over denominator size 16px tan begin mathsize 16px display style straight theta end style end fraction size 16px By size 16px space size 16px theorem size 16px space size 16px on size 16px space size 16px equal size 16px space size 16px ratios fraction numerator begin mathsize 16px display style tanθ end style over denominator begin mathsize 16px display style secθ minus 1 end style end fraction size 16px equals fraction numerator begin mathsize 16px display style secθ plus 1 end style over denominator begin mathsize 16px display style tanθ end style end fraction size 16px equals fraction numerator size 16px tan begin mathsize 16px display style straight theta end style begin mathsize 16px display style plus end style begin mathsize 16px display style secθ end style begin mathsize 16px display style plus end style begin mathsize 16px display style 1 end style over denominator size 16px tan begin mathsize 16px display style straight theta end style begin mathsize 16px display style plus end style begin mathsize 16px display style secθ end style begin mathsize 16px display style minus end style begin mathsize 16px display style 1 end style end fraction size 16px rightwards double arrow fraction numerator begin mathsize 16px display style tanθ end style over denominator begin mathsize 16px display style secθ minus 1 end style end fraction size 16px equals fraction numerator size 16px tan begin mathsize 16px display style straight theta end style begin mathsize 16px display style plus end style begin mathsize 16px display style secθ end style begin mathsize 16px display style plus end style begin mathsize 16px display style 1 end style over denominator size 16px tan begin mathsize 16px display style straight theta end style begin mathsize 16px display style plus end style begin mathsize 16px display style secθ end style begin mathsize 16px display style minus end style begin mathsize 16px display style 1 end style end fraction
Answered by Sneha shidid | 26 Sep, 2018, 11:11: AM

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