Writing Let θ = tan − 1 − 3 / 4 and explain why the triangle in the accompanying figure may be used to evaluate sin θ and cos θ . More generally, suppose that q denotes a rational number and that θ = tan − 1 q or that θ = sin − 1 q . Find right triangles, with at least two sides labelled by integers, that may be used to evaluate sin θ and cos θ .
Writing Let θ = tan − 1 − 3 / 4 and explain why the triangle in the accompanying figure may be used to evaluate sin θ and cos θ . More generally, suppose that q denotes a rational number and that θ = tan − 1 q or that θ = sin − 1 q . Find right triangles, with at least two sides labelled by integers, that may be used to evaluate sin θ and cos θ .
Writing Let
θ
=
tan
−
1
−
3
/
4
and explain why the triangle in the accompanying figure may be used to evaluate
sin
θ
and
cos
θ
. More generally, suppose that
q
denotes a rational number and that
θ
=
tan
−
1
q
or that
θ
=
sin
−
1
q
. Find right triangles, with at least two sides labelled by integers, that may be used to evaluate
sin
θ
and
cos
θ
.
Precalculus: Mathematics for Calculus - 6th Edition
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