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 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Trigonometric Ratios

If sin A:cos ...

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]

Open in App

Solution

Concept: 1 Mark
Application: 1 Mark

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

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

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

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

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

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

$= \frac{1}{6}$

Suggest Corrections

Similar questions

Q. 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]

Q. If

sin A : cos A = 4 : 7

, then the value of

\frac{7 sin A - 3 cos A}{7 sin A + 2 cos A}

Q. If sin A : cos A = 4 : 7, then the value of

\frac{7 s i n A - 3 c o s A}{1 s i n A + 2 c o s A}

is ______.

Q. 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}

Q. If

{[\begin{matrix} \cos \frac{2 π}{7} & - \sin \frac{2 π}{7} \\ \sin \frac{2 π}{7} & \cos \frac{2 π}{7} \end{matrix}]}^{k} = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]

, then the least positive integral value of k is
(a) 3
(b) 4
(c) 6
(d) 7

Join BYJU'S Learning Program

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]