Step 1: Understand that cotangent (cot) is the reciprocal of tangent (tan). If cot D = 3/4, then tan D = 4/3.
Step 2: Recall the definition of tangent: tan D = opposite/adjacent. Here, we can think of opposite = 4 and adjacent = 3.
Step 3: Use the Pythagorean theorem to find the hypotenuse. The hypotenuse (h) can be calculated as h = √(opposite² + adjacent²) = √(4² + 3²) = √(16 + 9) = √25 = 5.
Step 4: Now we can find sin D. The sine function is defined as sin D = opposite/hypotenuse. So, sin D = 4/5.
Step 5: Therefore, the value of sin D is 4/5.
Trigonometric Identities – Understanding the relationship between cotangent, tangent, sine, and cosine, and how to use the Pythagorean identity.
Right Triangle Relationships – Applying the definitions of trigonometric functions in the context of a right triangle.
