Question

iv) factorise : 80m²-125​

Answer 1

Step-by-step explanation:

Answer:

(π/2) - sec⁻¹x

Step-by-step explanation:

Given:tan^{-1}(\frac{1}{\sqrt{x^2-1}})Given:tan

−1

(

x

2

−1

1

)

Put x = secθ ⇒ θ = sec⁻¹x.

Now,

= tan⁻¹(1/√sec²θ - 1)

∴ We know that sec²θ = 1 + tan²θ

= tan⁻¹(1/√tan²θ)

= tan⁻¹(1/tan θ)

= tan⁻¹(cotθ)

= tan⁻¹(tan(90 - θ))

∴ We know that tan⁻¹(tanθ) = θ

= 90 - θ

= (π/2) - sec⁻¹x

Hope it helps!

Answer 2

Step-by-step explanation:

Given

80m^2-125

5(16m^2-25)

5(16m^2-5^2)

5(16m+5)(16m-5)

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