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Question

In $straight capital delta A B C comma c left parenthesis a cos space B minus b cos space A right parenthesis equals$

α²-b²
α²+b²
b²-c²
b²+c²

hint Hint:

The angles of the triangle ABC are denoted by A, B, C and the corresponding opposite sides by a, b, c.

The correct answer is: α²-b²

$straight capital delta A B C comma space c left parenthesis a cos space B minus b cos space A right parenthesis W e space k n o w space t h a t space comma fraction numerator a over denominator sin A end fraction equals fraction numerator b over denominator sin B end fraction equals fraction numerator c over denominator sin C end fraction equals 2 R space semicolon space cos space B space equals space fraction numerator space c squared plus a squared minus b squared over denominator 2 c a end fraction c left parenthesis a cross times fraction numerator space c squared plus a squared minus b squared over denominator 2 c a end fraction minus b cross times fraction numerator space c squared plus b squared minus a squared over denominator 2 c a end fraction right parenthesis c a cross times fraction numerator space c squared plus a squared minus b squared over denominator 2 c a end fraction minus c b cross times fraction numerator space c squared plus b squared minus a squared over denominator 2 c a end fraction fraction numerator space c squared plus a squared minus b squared over denominator 2 end fraction minus fraction numerator space c squared plus b squared minus a squared over denominator 2 end fraction fraction numerator space c squared plus a squared minus b squared space minus c squared minus b squared plus a squared over denominator 2 end fraction fraction numerator 2 a squared minus 2 b squared space over denominator 2 end fraction space equals a squared space minus space b squared$

s denotes the semi-perimeter of the triangle ABC, ∆ its area and R the radius of the circle circumscribing the triangle ABC i.e., R is the circum-radius.

In $straight triangle A B C comma sum fraction numerator a squared sin space left parenthesis B minus C right parenthesis over denominator sin begin display style space end style A end fraction equals$

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General

physics-

A cylinder of mass 5 kg. and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgM² S^-1initially followed by a similar impulse after every 4sec. what is the angular speed of the cylinder 30 sec after initial emulse ? The cylinder is at rest initially

physics-General

General

maths-

In $straight triangle A B C comma sum a cubed sin space left parenthesis B minus C right parenthesis equals$

maths-General

General

physics-

A body of mass m is tied to one end of spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is one centimeter. If the angular velocity is doubted, the elongation in the spring is 5 cm. The original length of spring is..

physics-General

General

Maths-

In $straight triangle A B C comma a b c sin space A over 2 sin space B over 2 sin space C over 2 equals$

Maths-General

General

maths-

Let n be the number of points having rational coordinates equidistant from the point $left parenthesis 0 comma square root of 3 right parenthesis text , then end text$

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General

biology

In figure, $stack A B with rightwards arrow on top equals 3 stack i with minus on top minus stack j with minus on top comma stack A C with rightwards arrow on top equals 2 stack i with minus on top plus 3 stack j with minus on top$ and $stack D E with rightwards arrow on top equals 4 stack i with minus on top minus 2 stack j with minus on top$ then the area of the shaded region in square units is

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General

maths-

In the figure, $stack D E with bar on top divided by divided by stack B C with bar on top$ and ar $left parenthesis triangle A D E right parenthesis equals a r invisible function application left parenthesis capital delta B E D right parenthesis$ The value of $fraction numerator B D over denominator A B end fraction equals$ ?

maths-General

General

maths-

The median AD of the triangle ABC is bisected at E and BE meets AC at F. If AF:AC =1/k then the value k

maths-General

General

maths-

In the figure, $blank stack A B with bar on top divided by stack C D with bar on top divided by stack E F with bar on top$ If AB = 6 cm, BE = 4cm, CD = 10cm, then EF + EC = ... Cm.

maths-General

General

maths-

In the figure, $angle equals angle A C E D$ , AB = 9cm, AD = 7cm, CD = 8cm and CE = 10cm Then DE = ?

maths-General

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In

α2-b2α2+b2b2-c2b2+c2

The angles of the triangle ABC are denoted by A, B, C and the corresponding opposite sides by a, b, c.

The correct answer is: α2-b2

Related Questions to study

In

In

A cylinder of mass 5 kg. and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgM2 S-1 initially followed by a similar impulse after every 4sec. what is the angular speed of the cylinder 30 sec after initial emulse ? The cylinder is at rest initially

A cylinder of mass 5 kg. and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgM2 S-1 initially followed by a similar impulse after every 4sec. what is the angular speed of the cylinder 30 sec after initial emulse ? The cylinder is at rest initially

In

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A body of mass m is tied to one end of spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is one centimeter. If the angular velocity is doubted, the elongation in the spring is 5 cm. The original length of spring is..

A body of mass m is tied to one end of spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is one centimeter. If the angular velocity is doubted, the elongation in the spring is 5 cm. The original length of spring is..

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In figure, and then the area of the shaded region in square units is

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In the figure, and ar The value of ?

In the figure, and ar The value of ?

The median AD of the triangle ABC is bisected at E and BE meets AC at F. If AF:AC =1/k then the value k

The median AD of the triangle ABC is bisected at E and BE meets AC at F. If AF:AC =1/k then the value k

In the figure, If AB = 6 cm, BE = 4cm, CD = 10cm, then EF + EC = ... Cm.

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In the figure, , AB = 9cm, AD = 7cm, CD = 8cm and CE = 10cm Then DE = ?

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In $straight capital delta A B C comma c left parenthesis a cos space B minus b cos space A right parenthesis equals$

α²-b²
α²+b²
b²-c²
b²+c²

The correct answer is: α²-b²

In $straight triangle A B C comma sum fraction numerator a squared sin space left parenthesis B minus C right parenthesis over denominator sin begin display style space end style A end fraction equals$

In $straight triangle A B C comma sum fraction numerator a squared sin space left parenthesis B minus C right parenthesis over denominator sin begin display style space end style A end fraction equals$

A cylinder of mass 5 kg. and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgM² S^-1initially followed by a similar impulse after every 4sec. what is the angular speed of the cylinder 30 sec after initial emulse ? The cylinder is at rest initially

A cylinder of mass 5 kg. and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgM² S^-1initially followed by a similar impulse after every 4sec. what is the angular speed of the cylinder 30 sec after initial emulse ? The cylinder is at rest initially

In $straight triangle A B C comma sum a cubed sin space left parenthesis B minus C right parenthesis equals$

In $straight triangle A B C comma sum a cubed sin space left parenthesis B minus C right parenthesis equals$

In $straight triangle A B C comma a b c sin space A over 2 sin space B over 2 sin space C over 2 equals$

In $straight triangle A B C comma a b c sin space A over 2 sin space B over 2 sin space C over 2 equals$

Let n be the number of points having rational coordinates equidistant from the point $left parenthesis 0 comma square root of 3 right parenthesis text , then end text$

Let n be the number of points having rational coordinates equidistant from the point $left parenthesis 0 comma square root of 3 right parenthesis text , then end text$

In the figure, $blank stack A B with bar on top divided by stack C D with bar on top divided by stack E F with bar on top$ If AB = 6 cm, BE = 4cm, CD = 10cm, then EF + EC = ... Cm.

In the figure, $blank stack A B with bar on top divided by stack C D with bar on top divided by stack E F with bar on top$ If AB = 6 cm, BE = 4cm, CD = 10cm, then EF + EC = ... Cm.

In the figure, $angle equals angle A C E D$ , AB = 9cm, AD = 7cm, CD = 8cm and CE = 10cm Then DE = ?

In the figure, $angle equals angle A C E D$ , AB = 9cm, AD = 7cm, CD = 8cm and CE = 10cm Then DE = ?