Calculate sin - cos - and - if tan - - 12-5- - - - - 3 -2-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sign of Trigonometric Ratios in Different Quadrants

Calculate s...

Question

Calculate $sin$ $α$ , $cos$ $α$ , and $cot$ $α$ if $tan$ $α$ = 12/5, $π$ < $α$ < 3 $π$ /2.

Open in App

Solution

Suggest Corrections

Similar questions

c o s α, t a n α, c o t α,

s i n α = \frac{5}{13}

\frac{π}{2} < α < π

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, {sin}^{2} α, 1, {sin}^{4} α

{sin}^{5} α

- π < a < π

α

Join BYJU'S Learning Program