Question

can someone help prove the identitiy for 1+sin(theta)/sin (theta) + cot (theta) -cos(theta)/cos (theta)= 2/sin(theta)

Answer 1

LaTeX:
\[\frac{1+sin\theta}{sin\theta}+\frac{cot\theta-cos\theta}{cos\theta}=\frac2{sin\theta}\]

Answer 2

need to prove the identity

Answer 3

just clarifying :)

Answer 4

thank you

Answer 5

\[\frac{1+\sin\theta}{\sin\theta}+\frac{\cot\theta-\cos\theta}{\cos\theta}=\frac1{\sin\theta}+1+\frac{\cot\theta}{\cos\theta}-1=\frac1{\sin\theta}+\frac1{\sin\theta}=\frac2{\sin\theta}\]

Answer 6

Thank you just one question cot(theta)/cos(theta) = 1/sin(theta)

Answer 7

\[\frac{\cot\theta}{\cos\theta}=\frac{\frac{\cos\theta}{\sin\theta}}{\cos\theta}=\frac1{\sin\theta}\]

Answer 8

got it. thank you

Answer 9

no problem :)