jika 0 ≤ θ ≤ π/2 dan tan θ = X, nilai tan θ + sin θ cos θ = .... mohon bantuannyaaa

tan a = x
sisi depan = x
sisi miring = √(1+x²)
sisi samping = 1
sin a = x / √(1+x²)
cos a = 1 / √(1+x²)

tan a + sin a cos a
= x + (x / √(1+x²)).(1 / √(1+x²))
= x + (x / (1+x²))
= x(1+x²)/(1+x²) + x/(1+x²)
= (x(1+x²) + x) / (1 + x²)
= x(1+x²+1) / (1+x²)
= x(2+x²) / (1+x²)