Question

what is sin α?
(-√13,6)
r
α
sin α = ?

Explanation:

Step1: Calculate the value of \( r \)

According to the formula \( r=\sqrt{x^{2}+y^{2}} \), where \( x =-\sqrt{13} \) and \( y = 6 \).

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Step2: Calculate \( \sin\alpha \)

According to the definition of trigonometric functions \( \sin\alpha=\frac{y}{r} \), substitute \( y = 6 \) and \( r = 7 \) into it.

$$ \sin\alpha=\frac{6}{7} $$

Answer:

\(\frac{6}{7}\)