If f(x) = √((log_3(x))²-3(log_3(x))-4) Then find the domain of x||

If α = ( cos (2π/n) + i sin (2π/n)) what is the value of 1 + α^p+α^(2p)+.....+ α^(n - 1)p ।।

Simplify 1/cos θ + 1/(sec θ - tan θ) । Academic approach and Competitive approach

θ = α + β, φ = α - β and tan α = λ tan β then prove that ( λ + 1 )sin φ = ( λ - 1 )sin θ

Simplify tan A/( 1 - cot A) + cot A/( 1 - tan A)

If tan θ = k , then show that sec θ + tan³ θ. cosec θ = ( 1 + k²) ^( 3/2)।।competitive approach ।

If x²-3x+1=0 then (x⁴+1/x²)/(x²+5x+1)=?

solution of √(2+√(2+√(2+√(2......∞=?