if secx+tanx/secx+tanx=209/79 then sinx=?
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Left-hand-side:
1sec(x)−tan(x)1sec(x)−tan(x)
= 1sec(x)−tan(x)∗sec(x)+tan(x)sec(x)+tan(x)= 1sec(x)−tan(x)∗sec(x)+tan(x)sec(x)+tan(x)
= sec(x)+tan(x)sec2(x)−tan2(x)= sec(x)+tan(x)sec2(x)−tan2(x)
Now use
1+tan2(x) = sec2(x)1+tan2(x) = sec2(x)
and you should be done.....
1sec(x)−tan(x)1sec(x)−tan(x)
= 1sec(x)−tan(x)∗sec(x)+tan(x)sec(x)+tan(x)= 1sec(x)−tan(x)∗sec(x)+tan(x)sec(x)+tan(x)
= sec(x)+tan(x)sec2(x)−tan2(x)= sec(x)+tan(x)sec2(x)−tan2(x)
Now use
1+tan2(x) = sec2(x)1+tan2(x) = sec2(x)
and you should be done.....
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i dont know your answer
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