UPSKILL MATH PLUS
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Learn more1. If \(sin \ \theta = \frac{a}{\sqrt{a^2 + b^2}}\), then show that \(b sin \ \theta = a cos \ \theta\).
Proof:
LHS: \(b sin \ \theta =\)
RHS: \(a cos \ \theta =\)
Since LHS \(=\) RHS, then \(b sin \ \theta = a cos \ \theta\).
Hence, we proved.
(Note: Enter the letters in alphabetical order.)
2. If \(3 cot \ A = 2\), then find the value of \(\frac{4 sin \ A - 3 cos \ A}{2 sin \ A + 3 cos \ A}\).
Answer:
\(\frac{4 sin \ A - 3 cos \ A}{2 sin \ A + 3 cos \ A} =\)