The values of cos - tan - cot - respectively if sin - 5-13 and -2-

Cos⁡ α= √((1 sin^2⁡α ))= 1213 nbsp; tan⁡ α=sin αcos α= 512 cot ⁡α= 1tan α= 125 ...

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The values of...

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The values of $c o s α, t a n α, c o t α,$ respectively if $s i n α = \frac{5}{13}$ and $\frac{π}{2} < α < π$

- \frac{12}{13}, - \frac{5}{12}, - \frac{12}{5}

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- \frac{12}{13}, - \frac{5}{13}, - \frac{13}{5}

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- \frac{12}{5}, - \frac{5}{12}, - \frac{12}{5}

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- \frac{12}{13}, - \frac{5}{13}, - \frac{13}{5}

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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

tan θ = \frac{sin α - cos α}{sin α + cos α}; (0 < θ < π) then sin α + cos α a n d sin α - cos α

α = {cos}^{- 1} (\frac{3}{5}), β = {tan}^{- 1} (\frac{1}{3}),

0 < α, β < \frac{π}{2},

α - β

sin α = \frac{5}{13}

\frac{π}{2} < α < π

\frac{sec α + tan α}{c o s e c α - cot α}

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