Question
Mathematics Question on Introduction to Trigonometry
If acosθ+bsinθ=p, asinθ−bcosθ=q, then
A
a2+b2=p2+q2
B
a2+b2=p2−q2
C
a2−b2=p2+q2
D
a2−b2=p2−q2
Answer
a2+b2=p2+q2
Explanation
Solution
The correct option is (A): a2+b2=p2+q2.
If acosθ+bsinθ=p, asinθ−bcosθ=q, then
a2+b2=p2+q2
a2+b2=p2−q2
a2−b2=p2+q2
a2−b2=p2−q2
a2+b2=p2+q2
The correct option is (A): a2+b2=p2+q2.