Trigonometry Angles Formula

Trigonometry Angles Formula

Supplementary angles ( = sum is π)

• Sin ( π – α ) = sin α
• Cos (π – α ) = – cos α
• Tan (π – α ) = – tan α
• Cot (π – α) = – cot α

Anti-supplementary Angles (= difference is π)

• Sin ( π + α ) = – sin α
• Cos (π + α ) = – cos α
• Tan (π + α ) = tan α
• Cot (π + α ) = cot α

Opposite Angles ( = sum is 2π)

• Sin ( 2π – α ) = – sin α
• Cos (2π – α ) = cos α
• Tan (2π – α ) = -tan α
• Cot (2π – α ) = – cot α

Complementary Angles (= sum is π/2)

• Sin ( π/2 – α ) = cos α
• Cos (π/2 – α ) = sin α
• Tan (π/2 – α ) = cot α
• Cot (π/2 – α ) = tan α