If sin- -cos- -0 and 0- - then -

The correct option is D 3π 4 Given sinθ #160; +cosθ #160; =0 ⇒tanθ #160; = 1 ⇒θ = 3π #160; 4 ∈ (0,π ) ...

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Use of Trigonometric Table

If sinθ +co...

Question

If $sin θ + cos θ = 0$ and $0 < θ < π$ , then $θ$

0

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\frac{π}{4}

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\frac{π}{2}

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\frac{3 π}{4}

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If $θ = {sin}^{- 1} x + {cos}^{- 1} x - {tan}^{- 1} x, x \geq 0$ then the smallest interval in which $θ$ lies is

Which of the following statements are correct?

1 . if sin θ = sin α ⇒ θ = nπ + $(- 1)^{n}$ α where α ∈ [ - $\frac{π}{2}$ , $\frac{π}{2}$ ] n ∈ I

2 . if cos θ = cos α ⇒ 2nπ±α where α ∈ [0,π] n ∈ I

3 . if tan θ = tan α ⇒ θ = nπ + α where α ∈ (- $\frac{π}{2}$ , $\frac{π}{2}$ ) n ∈ I

\frac{π}{4}

θ

\frac{π}{4}

θ

θ

y = \frac{4 sin θ}{2 + cos θ} - θ

θ

[0, \frac{π}{2}] .

θ

\frac{π}{2}

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + {cos}^{2} θ & {sin}^{2} θ & 4 sin 4 θ {cos}^{2} θ & 1 + {sin}^{2} θ & 4 sin 4 θ {cos}^{2} θ & {sin}^{2} θ & 1 + 4 sin 4 θ \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

θ = \frac{a π}{b}

\frac{(b - 3)}{a}

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