UPSKILL MATH PLUS

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28. Five mark exercise problems IV

1. If

$sin \ \theta = \frac{a}{\sqrt{a^2 + b^2}}$ , then show that

$b sin \ \theta = a cos \ \theta$ .

Proof:

LHS:

$b sin \ \theta =$

$\frac{i i}{\sqrt{i^{i} + i^{i}}}$

RHS:

$a cos \ \theta =$

$\frac{i i}{\sqrt{i^{i} + i^{i}}}$

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:

$\frac{4 sin \ A - 3 cos \ A}{2 sin \ A + 3 cos \ A} =$

$\frac{i}{i}$

Did you find an error?