Solution for the question - in /_\abc,(a+b)cos c+(b+c)cos a+(c+a)cos b= 2(a+b+c) '/> a+b+c '/> b+c '/> a+b '/>

Maths-

General

Easy

Question

In $triangle A B C comma left parenthesis a plus b right parenthesis cos invisible function application C plus left parenthesis b plus c right parenthesis cos invisible function application A plus left parenthesis c plus a right parenthesis cos invisible function application B equals$

$a + b$
$b + c$
$a + b + c$
$2 (a + b + c)$

hint Hint:

In this question we will use projection formula
$a equals space left parenthesis b cos open parentheses C close parentheses plus c cos open parentheses B close parentheses right parenthesis b equals left parenthesis c cos open parentheses A close parentheses plus a cos open parentheses C close parentheses right parenthesis c equals left parenthesis a cos open parentheses B close parentheses plus b cos open parentheses A close parentheses$

The correct answer is: $a plus b plus c$

In this question we have to fins the value of $left parenthesis b plus c right parenthesis cos open parentheses A close parentheses plus left parenthesis c plus a right parenthesis cos open parentheses B close parentheses plus left parenthesis a plus b right parenthesis cos open parentheses C close parentheses$
=> $b cos open parentheses A close parentheses plus c cos open parentheses A close parentheses plus c cos open parentheses B close parentheses plus a cos open parentheses B close parentheses plus a cos open parentheses C close parentheses plus b cos open parentheses C close parentheses$
=> $left parenthesis b cos open parentheses C close parentheses plus c cos open parentheses B close parentheses right parenthesis plus left parenthesis c cos open parentheses A close parentheses plus a cos open parentheses C close parentheses right parenthesis plus left parenthesis a cos open parentheses B close parentheses plus b cos open parentheses A close parentheses right parenthesis$
By using projection formula
$a equals space left parenthesis b cos open parentheses C close parentheses plus c cos open parentheses B close parentheses right parenthesis b equals left parenthesis c cos open parentheses A close parentheses plus a cos open parentheses C close parentheses right parenthesis c equals left parenthesis a cos open parentheses B close parentheses plus b cos open parentheses A close parentheses$
By substituting these values in the given expression, we get,
=> $a plus b plus c$

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

In $triangle A B C comma left parenthesis a plus b right parenthesis cos invisible function application C plus left parenthesis b plus c right parenthesis cos invisible function application A plus left parenthesis c plus a right parenthesis cos invisible function application B equals$

$a + b$
$b + c$
$a + b + c$
$2 (a + b + c)$

The correct answer is: $a plus b plus c$

Related Questions to study

In $triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals$

In $triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals$

In $triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals$

In $triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals$

In $A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals$

In $triangle A B C comma sum a cos invisible function application A equals$

In $triangle A B C comma sum a cos invisible function application A equals$

In $capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals$

In $capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals$

$L t left parenthesis x rightwards arrow pi divided by 6 right parenthesis left parenthesis left parenthesis 3 s i n x minus √ 3 c o s x right parenthesis divided by left parenthesis 6 x minus pi right parenthesis right parenthesis equals$

$L t left parenthesis x rightwards arrow pi divided by 6 right parenthesis left parenthesis left parenthesis 3 s i n x minus √ 3 c o s x right parenthesis divided by left parenthesis 6 x minus pi right parenthesis right parenthesis equals$

For $x element of R L t left parenthesis x rightwards arrow infinity right parenthesis left parenthesis left parenthesis x minus 3 right parenthesis divided by left parenthesis x plus 2 right parenthesis right parenthesis to the power of x equals$

For $x element of R L t left parenthesis x rightwards arrow infinity right parenthesis left parenthesis left parenthesis x minus 3 right parenthesis divided by left parenthesis x plus 2 right parenthesis right parenthesis to the power of x equals$

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

Follow Us at

Support

Download App

Courses

Quick Links

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

In

In this question we will use projection formula

The correct answer is:

In this question we have to fins the value of =>=>By using projection formulaBy substituting these values in the given expression, we get,=>

Related Questions to study

In

In

In

In

In

In

In

In

In

In

In

In

If is finite then the values of a,b are respectively

If is finite then the values of a,b are respectively

If then

If then

If be a positive increasing function with then

If be a positive increasing function with then

If and then is

If and then is

is

is

For

For

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

In $triangle A B C comma left parenthesis a plus b right parenthesis cos invisible function application C plus left parenthesis b plus c right parenthesis cos invisible function application A plus left parenthesis c plus a right parenthesis cos invisible function application B equals$

The correct answer is: $a plus b plus c$

In $triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals$

In $triangle A B C comma sum 1 divided by a c o s squared invisible function application A divided by 2 equals$

In $triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals$

In $triangle A B C comma s squared t a n invisible function application A divided by 2 t a n invisible function application B divided by 2 t a n invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $triangle A B C comma 4 R s sin invisible function application A divided by 2 space sin invisible function application B divided by 2 space sin invisible function application C divided by 2 equals$

In $A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals$

In $A B C space comma space 4 R cos A divided by 2 space cos B divided by 2 space cos C divided by 2 equals$

In $triangle A B C comma sum a cos invisible function application A equals$

In $triangle A B C comma sum a cos invisible function application A equals$

In $capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals$

In $capital delta A B C comma sum left parenthesis left parenthesis b squared minus c squared right parenthesis right parenthesis divided by a c o s invisible function application A equals$

For $x element of R L t left parenthesis x rightwards arrow infinity right parenthesis left parenthesis left parenthesis x minus 3 right parenthesis divided by left parenthesis x plus 2 right parenthesis right parenthesis to the power of x equals$

For $x element of R L t left parenthesis x rightwards arrow infinity right parenthesis left parenthesis left parenthesis x minus 3 right parenthesis divided by left parenthesis x plus 2 right parenthesis right parenthesis to the power of x equals$