Find tan θ if cos θ = 1/4 and sin θ < 0.
1 answer:
Hello :
cos²(θ) +sin²(<span>θ) = 1
(1/4)² +sin²(</span><span>θ) = 1
</span>sin²(θ) = 1 -1/16
sin²(θ) =15/16
sin(θ) = - √(15/16)=- √15/4 because : <span>sin θ < 0.
</span>tan (θ) =sin (θ)/ cos( θ) =(- √15/4)/(1/4) = - √15
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