Answer:
1 – cosθ/1 + cosθ = secθ – 1/secθ + 1
Here, we know that secθ = 1/cosθ
Now,
1 – cosθ/1 + cosθ = secθ – 1/secθ + 1
1 – cosθ/1 + cosθ = 1/cosθ – 1 ÷ 1/cosθ + 1
1 – cosθ/1 + cosθ = 1 – cosθ/cosθ ÷ 1 + cosθ/cosθ
1 – cosθ/1 + cosθ = 1 – cosθ/1 + cosθ
Hence Proved!!
-TheUnknownScientist 72