Respuesta :
The pair of equations below is a result of constructing the altitude, h, in Triangle ABC is A; sin C = h/a and sin A = h/c.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We know:
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]
So from the attached figure;
sin C = h/a
sin A = h/c
These expressions have an h term in common. We can combine them if we can find forms of the expressions in terms;
h = a (sin C)
h = c (sin A)
Thus, option A is correct pair.
Learn more about trigonometric;
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