if sec theta - tan theta equals to 4 by 3 then sin theta equals to - Maths - Trigonometry

Question

if sec theta - tan theta equals to 4 by 3 then sin theta equals to

Brijendra Pal · Accepted Answer

Hi, secθ-tanθ=43
1we know that sec2θ-tan2θ= 1 secθ-tanθsecθ+tanθ=1secθ+tanθ=1secθ-tanθ= 34
2add equation 1 and 2 2secθ=43+34=2512secθ=2524cosθ=2425so sinθ= 1-cos2θ=1-24252=725