Question

If A and B are complementary
angles, then cos? A + cos²B=​

Answer 1

☘️Given:-

• A & B are Complementary Angles.

☘️To Find:-

• Cos²A+Cos²B = ?

☘️ Solution:-

$→\;{\sf{Cos²A+Cos²B}}$

• CosA+CosB = 90°
• CosA = 90°-CosB

$→\;{\sf{(Cos(90°-CosB))²+CosB}}$

• $\bold{Cos(90°-\theta) = Sin\theta}$

$→\;{\sf{Sin²B+Cos²B}}$

• $\bold{Cos²\theta-Sin²\theta = 1}$

$→\;{\bf{1}}$

☞ $\green{\sf{Cos²A+Cos²B = 1}}$

$\boxed{\tt{@MrMonarque}}$

Hope It Helps You ✌️