1.

Sec square theta - tan square theta equal to 1

Answer»

Answer:

TO PROVE: 1 + Tan²θ = Sec²θ

Tan θ = (Sin θ) / (COS θ)

∴ Tan²θ = (Sin θ / Cos θ)²  ..... (1)

L.H.S = 1 + Tan²θ

(substituting from equation 1 we GET)

L.H.S. = 1 + (sin θ/cos θ)²

∴ L.H.S = 1 + (Sin²θ / Cos²θ)

∴ L.H.S. = (Cos²θ + Sin²θ) / Cos²θ

But, we KNOW that - Cos²θ + Sin²θ = 1

∴ L.H.S. = 1 / Cos²θ

  ∵ 1 / Cosθ = Secθ

∴ L.H.S. = Sec²θ = R.H.S.

as LHS = RHS... hence prooved

1 + Tan²θ = Sec²θ

Step-by-step explanation:

Hope this helps you pls MARK me the brainliest



Discussion

No Comment Found

Related InterviewSolutions