If sin A - cos A -4- 7- then what is the value of 7 sin A -3 cos A -7 sin A -2 cos A - -2 MARKS-

Concept: 1 Mark Application: 1 Mark sin A:cos A=4:7 sin A/cos A=4/7 7 sin A 3 cos A/7 sin A + 2 cos A =7 sin A/cos A 3/7 sin A/cos A+2 =7 ( 4/7 ) 3/7 ( 4 ...

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Standard IX

Mathematics

Equilateral and Isosceles Triangle Properties

If sin A : co...

Question

If $s i n A : c o s A = 4 : 7$ , then what is the value of $\frac{7 s i n A - 3 c o s A}{7 s i n A + 2 c o s A}$ ? [2 MARKS]

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Solution

Concept: 1 Mark
Application: 1 Mark

$s i n A : c o s A = 4 : 7$

$\frac{s i n A}{c o s A} = \frac{4}{7}$

$\frac{7 s i n A - 3 c o s A}{7 s i n A + 2 c o s A}$

$= \frac{7 \frac{s i n A}{c o s A} - 3}{7 \frac{s i n A}{c o s A} + 2}$

$= \frac{7 (\frac{4}{7}) - 3}{7 (\frac{4}{7}) + 2}$

$= \frac{4 - 3}{4 + 2}$

$= \frac{1}{6}$

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If sin A:cos A=4:7, then what is the value of 7 sin A−3 cos A7 sin A+2 cos A? [2 MARKS]

Concept: 1 Mark Application: 1 Mark sin A:cos A=4:7 sin Acos A=47 7 sin A−3 cos A7 sin A+2 cos A =7sin Acos A−37sin Acos A+2 =7(47)−37(47)+2 =4−34+2 =16

If $s i n A : c o s A = 4 : 7$ , then what is the value of $\frac{7 s i n A - 3 c o s A}{7 s i n A + 2 c o s A}$ ? [2 MARKS]