Question

 If    tanѲ  = 5/12 , find the value of (cosѲ  + sinѲ )/( cosѲ – sinѲ ) ​

Answer 1

We have,tan θ = 512Now,

sec θ = 1+tan2θ−−−−−−−−√

⇒sec θ = 1 + (512)2−−−−−−−−−√

⇒sec θ = 1 + 25144−−−−−−−√⇒sec θ = 169144−−−√⇒sec θ = 1312Now, cos θ = 1sec θ= 1213Now, sin θ = 1−cos2θ−−−−−−−−√ = 1 − (1213)2−−−−−−−−−√ = 1−144169−−−−−−√ = 25169−−−√ = 513Now, sin θ − cos θ = 513 − 1213 = −71