answer it immediately

7sinA + 11cosA = 89

This equation is IMPOSSIBLE, because sinA or cos A can take a maximum value of 1, and that too not simultaneously.

Although some tricks to help solve the problem are,

sin⁴A+sin²A+cos²A+cos⁴A = sin²Acos²A(sin²A+cos²A) = sin²Acos²A

Given an equation line psinA + qcosA = r

Write, psinA = r-qcosA.

Square both sides, to get a quadratic equation in cos A.

Find cos A, then sinA

Please provide addition details and clarification, to give you complete solution.

Regards,

Team,

TopperLearning.