Introduction to Trigonometry
RD Sharma
CBSE
Grade 10
Question:
If $\sin(A - B) = \dfrac{1}{2}$ and $\cos(A + B) = \dfrac{1}{2}$, where $0^\circ < A + B \le 90^\circ$ and $A > B$, find $A$ and $B$.
Step-by-Step Solution
Key Concept: $A - B = 30^\circ$ and $A + B = 60^\circ \Rightarrow 2A = 90^\circ \Rightarrow A = 45^\circ, B = 15^\circ$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer:
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.