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aditya saini

· started a discussion

· 1 Months ago

simplified (Question: 248672.0 )

anyone has simple and fast ans ?

Question:
If cot \(\theta\) = \(\cfrac{sin\ a+cos\ a}{sin\ a-cos\ a}\),   then sin \(\alpha\) – cos \(\alpha\) is
Options:
A) ±\(\sqrt{2}\) sin \(\theta\)
B) ±\(\sqrt{2}\) cos \(\theta\)
C) -\(\sqrt{2}\) sec \(\theta\)
D) ±\(\sqrt{2}\) cosec \(\theta\)
Solution:

Ans: (a) 

Tarun Kumar

· commented

· 1 Months ago

cot * = 1+cot$/1-cot$ so *= $+45 , now put the value in sin$-cos$ and use the formula u will get a option
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