Question

4. If 4 cos A-3 sin A =p and 4 sin A + 3 cos A =q, obtain the relation between p and q.​

Answer 1

Answer:

It can be related by using the algebra formula.

Step-by-step explanation:

Solution,

Given,

4cos A - 3sin A =p

4sin A + 3cos A = q

Let us relate p and q by using (p)²+(q)²

(4CosA - 3sin A)² = 16 cos²A + 9 sin²A - 24SinACos A

(4SinA + 3cos A)² = 16 sin²A + 9 cos²A + 24SinACos A

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p² + q². =. 25(Sin²A +Cos²A)

Therefore, p²+q² = 25