(A) 415-3 (B) 153+3 (C) 153-4 (D) 315-4

If 4sin2θ=3(1+cosθ),0°<θ<90° , then what is the value of (2tanθ+4sinθ-secθ) ?

Mathematics » Trigonometry

If $4 \sin^{2} θ = 3 (1 + \cos θ), 0 ° < θ < 90 °$ , then what is the value of $(2 \tan θ + 4 \sin θ - s e c θ)$ ?

$4 \sqrt{15} - 3$

$15 \sqrt{3} + 3$

$15 \sqrt{3} - 4$

$3 \sqrt{15} - 4$