Determine whether the following statement is true or false. Justify your answer.
1 answer:
Answer:
B. The statement is false. This is true only if θ is an acute angle in a right triangle.
Step-by-step explanation:
Trigonometric ratio formula can only be applied to define the relationship between the angles of a right triangle and its side lengths.
Therefore, it is impossible to define or find the tan θ of "any triangle". It only applies to right angled triangles.
In the case of a right triangle, given a reference angle, θ, tan θ = side lenght opposite to θ ÷ side lenght adjacent to θ (tan θ = .
A right triangle has two acute angles and 1 right angle that which is 90°.
Therefore, we can conclude that:
"B. The statement is false. This is true only if θ is an acute angle in a right triangle."
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