Question

Guys plz answer.........
If u answer it correctly I will mark the answer as BRAINLIST................ ​

Answer 1

Answer:

Mark me brainliest if helped Buddy!

Answer 2

Question:

If A = 60° and B = 30° , then find the value of :

$\big(sinA·cosB + cosA·sinB\big)^{2} +\\ \big(cosA·cosB - sinA·sinB\big)^{2}$

Concept:

$\big(sinA·cosB + cosA·sinB\big) = sin(A + B)$

$\big(cosA·cosB - sinA·sinB\big) = cos(A + B)$

$cos^{2} + sin^{2} = 1$

Solution:

$sin(A + B)^{2} + cos(A + B)^{2}$

$sin(A + B)^{2} + cos(A + B)^{2}$

$\Rightarrow sin(60° + 30°)^{2} + cos(60° + 30°)^{2}$

$\Rightarrow sin(90°)^{2} + cos(90°)^{2}$

And , $cos^{2} + sin^{2} = 1$ so , answer is 1...