Question

14 multiple choice 1 point
find \\( \cos 34 ^ { \circ } \\) to four decimal places.
0.5592
0.8191
0.5736
0.8290
15 multiple choice 1 point
given the triangle shown, which of the following is true?
\\( \cos a = \frac { b } { c } \\)
\\( \sin b = \frac { c } { b } \\)
\\( \sin b = \frac { a } { c } \\)
\\( \tan a = \frac { b } { a } \\)

Explanation:

Step1: Calculate \(\cos34^{\circ}\)

Using a scientific calculator, input \(34\) and then press the \(\cos\) button.
\(\cos34^{\circ}\approx0.8290\)

Step2: Analyze trigonometric ratios for question 15

Recall the definitions: \(\cos A=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{b}{c}\), \(\sin B = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{b}{c}\), \(\tan A=\frac{\text{opposite}}{\text{adjacent}}=\frac{a}{b}\)

Answer:

1. \(0.8290\)
2. \(\cos A=\frac{b}{c}\)