Question

sin thita/ 1+ cos thita=​

Answer 1

Step-by-step explanation:

→ $\frac{ Sin~θ~ }{ 1~+~Cos~θ~ }$

→ $\frac{ Sin~θ~(1~+~Cos~θ~) }{ (1~-~Cos~θ~) (1~+~Cos~θ~) }$

→ $\frac{ Sin²~θ~(1~+~Cos~θ~) }{ 1~-~Cos²~θ~ }$

→ $\frac{ Sin²~θ~(1~+~Cos~θ~) }{ Sin²~θ~ }$

• Cancel Sin² θ

→ $\frac{ 1 }{ Sin~theθta } \: {+} \: \frac{ Cos~θ~ }{ Sin~θ~ }$

We know that

• $\frac{ 1 }{ Sin~θ~ } \: {=} \: {Cosec} \: {~θ~}$

• $\frac{ Cos~θ }{ Sin~θ } \: {=} \: { Cot~θ~ }$

→ Cosec θ + Cot θ