Solution
Step 1
Write an expression for cosine and sine, using their ratios

Step 2
Define the values of adjacent, opposite, hypothenuse
From the question Cos(c) = 7/25
Hence by comparison with the ratio above
adjacent = 7
hypothenuse = 25
Opposite =?
Step 3
Find the value of the opposite using Pythagoras theorem
Hence, from the diagram using Pythagoras theorem
![\begin{gathered} \text{hypothenuse}^2=adjacent^2+opposite^2 \\ \text{opposite}^2=hypothenuse^2-adjacent^2 \\ \text{opposite =}\sqrt[]{hypothenuse^2-adjacent^2} \\ After,\text{ substitution} \\ \text{opposite =}\sqrt[]{25^2-7^2} \\ \text{opposite = }\sqrt[]{576} \\ \text{opposite =24} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r3r7zkml1cfzh3ehehblq2taiz2l5vxnxh.png)
Step 4
Find the value of sine(c)

Hence, sin(c) = 24/25... Option C