Mathematics
In △ABC, angle C is 90° then find the value of sin (A + B).
Trigonometric Identities
11 Likes
Answer
In △ ABC,
∠ A + ∠ B + ∠ C = 180°
⇒ ∠ A + ∠ B + 90° = 180°
⇒ ∠ A + ∠ B = 180° - 90°
⇒ ∠ A + ∠ B = 90°
⇒ sin(A + B) = sin 90°
⇒ sin(A + B) = 1
Hence, sin (A + B) = 1.
Answered By
4 Likes