Questions: Based on the figure, select all true equations. THIS IS NOT A MULTIPLE CHOICE QUESTION 1. cos(42) = b/c 2. cos(48) = b/c 3. sin(42) = b/c 4. sin(48) = b/c 5. tan(42) = b/a 6. tan(48) = a/b

Based on the figure, select all true equations. THIS IS NOT A MULTIPLE CHOICE QUESTION
1. cos(42) = b/c
2. cos(48) = b/c
3. sin(42) = b/c
4. sin(48) = b/c
5. tan(42) = b/a
6. tan(48) = a/b

Transcript text: Based on the figure, select all true equations. THIS IS NOT A MULTIPLE CHOICE QUESTION 1. $\cos (42)=\frac{b}{c}$ 2. $\cos (48)=\frac{b}{c}$ 3. $\sin (42)=\frac{b}{c}$ 4. $\sin (48)=\frac{b}{c}$ 5. $\tan (42)=\frac{b}{a}$ 6. $\tan (48)=\frac{a}{b}$

Solution

Solution Steps

Step 1: Analyze the given triangle

We are given a right triangle ABC with angle A measuring 48 degrees. Side 'c' is the hypotenuse, side 'b' is adjacent to angle A, and side 'a' is opposite to angle A.

Step 2: Evaluate the trigonometric ratios

cos(48°) = adjacent/hypotenuse = b/c sin(48°) = opposite/hypotenuse = a/c tan(48°) = opposite/adjacent = a/b