Question

6sin2A + 6cos2A=?? the 2 is squared

Answer 1

Answer:

6

Step-by-step explanation:

6sin²A + 6cos²A

Taking 6 common

⇒ 6(sin²A + cos²A)

⇒ 6(1)                       ∵ sin²A + cos²A = 1 (Trigonometric Identity)

⇒ 6

Hope this helped!

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

We are aware of the trigonometric identity that

$\displaystyle \: {sin}^{2}A \: + \: {cos}^{2}A \: = 1$

Now

$\displaystyle \: 6 {sin}^{2}A \: + \:6 {cos}^{2}A \:$

$= \displaystyle \:6( {sin}^{2}A \: + \: {cos}^{2}A )\:$

$= \displaystyle \: 6 \times 1$

$= 6$