Math, asked by arnab2261, 1 year ago

Hint given : Use tan (A + B) = tan (45° - C)

Topic : Trigonometry

No spams please..

Thank you..

Attachments:

Answers

Answered by dhruvsh

Here the required and expected thing that you should know is the triple angle formula for tan function.

So, this is a very important Formula and i recommend you to learn this

tan (A+B+C) = (tan A + tan B + tan C - tanAtanBtanC)/1-tanAtanB-tanBtanC-tanAtanC
So,
If A+B+C=45°
So,
tan(45°) = 1 = tan A + tanB+ tanC - tan AtanBtanC/1-tanAtanB-tanBtanC-tanAtanC
So,
tanA+tanB+tanC - tanAtanBtanC = 1-tanAtanB-tanBtanC-tanAtanC
So,
tanA+tanB+tanC + tantanB + tanBtanC + tanAtanC = 1+tanAtanBtanC

Now,
remember,
sigma tanA = tan A + tan B + tanC

which actually sigma in simple terms means the sum of all the like terms occurring in the equation.

So,
we've got
Sigma tan A + sigma tan A tanB = 1 + tan A tan B tan C
Now,
Product of all like terms is represented by π

So,
atlast
sigma tan A + sigma tanAtanB = 1+π tanA

So, the correct answer will be (c)

Hope this helps you !

arnab2261: Thanks, bhaiya.. ☺️

dhruvsh: Ur welcome ｡◕‿◕｡

Soumok: osm!!

dhruvsh: ｡◕‿◕｡

Soumok: ❤❤

Answered by Anonymous

$\huge</p><p>\red{\mid{\underline{\overline{\textbf{Hi\:Mate}}}\mid}}$

$\huge</p><p>\blue{\mid{\fbox{\tt{Answer}}\mid}}$

$<body bgcolor=black><marquee direction="down"><font color=rehcdjddv>$

UR ANSWER IS IN ABOVE PICTURE

$<body bgcolor=black><marquee direction="up"><font color=yellow>$

MARK ME AS BRAINLIST

$<body bgcolor=black><font color="red"><marquee scrollamount=1300 />$

Kashish here

$<svg width="250" height="250" viewBox="0 0 100 100">\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <path fill="pink" d="M92.71,7.27L92.71,7.27c-9.71-9.69-25.46-9.69-35.18,0L50,14.79l-7.54-7.52C32.75-2.42,17-2.42,7.29,7.27v0 c-9.71,9.69-9.71,25.41,0,35.1L50,85l42.71-42.63C102.43,32.68,102.43,16.96,92.71,7.27z"></path>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <animateTransform \ \textless \ br /\ \textgreater \ attributeName="transform" \ \textless \ br /\ \textgreater \ type="scale" \ \textless \ br /\ \textgreater \ values="1; 1.5; 1.25; 1.5; 1.5; 1;" \ \textless \ br /\ \textgreater \ dur="2s" \ \textless \ br /\ \textgreater \ repeatCount="40"> \ \textless \ br /\ \textgreater \ </animateTransform>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ </svg>$

Attachments:

Previous Question

Next Question

Hint given : Use tan (A + B) = tan (45° - C) Topic : Trigonometry No spams please.. Thank you.. ​

Answers

Hint given : Use tan (A + B) = tan (45° - C)

Topic : Trigonometry

No spams please..

Thank you..