If -21then sin 23-sin 7-sin 2- sin 14 - -

The correct option is C 0 #160; #952;= #960;/21, =((sin23θ sin7θ ))/((sin2θ +sin14θ )) . = 0 ...

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Standard XII

Mathematics

Product of Trigonometric Ratios in Terms of Their Sum

If θ=π21the...

Question

If $θ = \frac{π}{21} t h e n \frac{sin 23 θ - sin 7 θ}{sin 2 θ + sin 14 θ} =$ ?

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Solution

The correct option is C $0$
$θ = π / 21,$
$= ((s i n 23 θ - s i n 7 θ)) / ((s i n 2 θ + s i n 14 θ)) .$
$= 0$

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Similar questions

Q. If

θ = \frac{π}{21}

, the value of

\frac{sin 23 θ - sin 7 θ}{sin 2 θ + sin 14 θ} =

Q. Let

θ \in (0, \frac{π}{2}) .

If the system of linear equations,

\begin{matrix} (1 + {cos}^{2} θ) x + {sin}^{2} θ y + 4 sin 3 θ z = 0 {cos}^{2} θ x + (1 + {sin}^{2} θ) y + 4 sin 3 θ z = 0 {cos}^{2} θ x + {sin}^{2} θ y + (1 + 4 sin 3 θ) z = 0 \end{matrix}

has a non-trivial solution, then the value of

θ

Q. The value of

θ

lying between 0 and

\frac{π}{2}

and satisfying the equation-

∣ ∣ ∣ ∣ ∣ \begin{matrix} 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 \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

are-

sin 7 θ + sin 4 θ + sin θ = 0, 0 < θ < \frac{π}{2}

The number of values of $θ$ in the interval $(- \frac{π}{2}, \frac{π}{2})$ such that $θ \neq \frac{n π}{5} f o r n = 0, \pm 1, \pm 2$ and $t a n θ = c o t 5 θ$ as well as $s i n 2 θ = c o s 4 θ$ is___

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If θ=π21thensin23θ−sin7θsin2θ+sin14θ= ?

The correct option is C 0 θ=π/21,=((sin23θ−sin7θ))/((sin2θ+sin14θ)).=0

If $θ = \frac{π}{21} t h e n \frac{sin 23 θ - sin 7 θ}{sin 2 θ + sin 14 θ} =$ ?

The correct option is C $0$
$θ = π / 21,$
$= ((s i n 23 θ - s i n 7 θ)) / ((s i n 2 θ + s i n 14 θ)) .$
$= 0$