The value of θ lying between θ=0 θ=π / 2 satisfying the equation: | 1+ sin 2 θ cos 2 θ 4 sin 4 θ sin 2 θ 1+ cos 2 θ 4 sin 4 θ sin 2 θ cos 2 θ 1+4 sin 4 θ |=0 text are:

Question

The value of θ lying between θ=0 θ=π / 2 satisfying the equation: | 1+ sin 2 θ cos 2 θ 4 sin 4 θ sin 2 θ 1+ cos 2 θ 4 sin 4 θ sin 2 θ cos 2 θ 1+4 sin 4 θ |=0 text are:  (A) (7 π/24) (B) (5 π/24) (C) (11 π/24) (D) (π/24)

Tardigrade Admin · Accepted Answer

R 1 arrow 2 R 1- R 2 and R 2 arrow R 2- R 3

Q. The value of $θ$ lying between $θ = 0& θ = π /2&$ satisfying the equation : $∣ ∣ 1 + sin^{2} θ sin^{2} θ sin^{2} θ cos^{2} θ 1 + cos^{2} θ cos^{2} θ 4 sin 4 θ 4 sin 4 θ 1 + 4 sin 4 θ ∣ ∣ = 0 are :$

$\frac{7 π}{24}$

$\frac{5 π}{24}$

$\frac{11 π}{24}$

$\frac{π}{24}$

$R_{1} \to 2 R_{1} - R_{2}$ and $R_{2} \to R_{2} - R_{3}$

Q. The value of θ lying between θ=0&θ=π/2& satisfying the equation : ∣∣​1+sin2θsin2θsin2θ​cos2θ1+cos2θcos2θ​4sin4θ4sin4θ1+4sin4θ​∣∣​=0 are :

247π​

245π​

2411π​

24π​