Question

sec square theta - tan square theta equal to 1

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

do it by writing its ratios.

sec=hyp/adj

tan=opp/adj

hope you could do it.