What are the basic trigonometric identities?

Mathematics

ScanSolve AI Answer

The fundamental trig identities: sin²θ + cos²θ = 1 (Pythagorean), tan θ = sin θ/cos θ, 1 + tan²θ = sec²θ, 1 + cot²θ = csc²θ. Double angle: sin 2θ = 2 sin θ cos θ, cos 2θ = cos²θ - sin²θ. Sum: sin(A+B) = sinA cosB + cosA sinB. These are essential for simplifying expressions and solving trig equations. Memorize the Pythagorean identity — everything else derives from it.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.

More Mathematics Questions

QGive me paper one of mathematics kcse 2024 section A questions and answersQPlease Draw Using a ruler and a pair of compases Only construct the following angles 5° 135°QJournal riyazi TCS School maliya malayatti riyasi chapter ka naam hai aur is chapter mein 4.1 exerci…QQUESTION 2 John decided to start a car wash service on Saturdays in his matric year. He rented a Pow…QDetermine the values of A & B
See all Mathematics questions →

Still have questions?

Quick Answer

The fundamental trig identities: sin²θ + cos²θ = 1 (Pythagorean), tan θ = sin θ/cos θ, 1 + tan²θ = sec²θ, 1 + cot²θ = csc²θ.

What are the basic trigonometric identities?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
The fundamental trig identities: sin²θ + cos²θ = 1 (Pythagorean), tan θ = sin θ/cos θ, 1 + tan²θ = sec²θ, 1 + cot²θ = csc²θ. Double angle: sin 2θ = 2 sin θ cos θ, cos 2θ = cos²θ - sin²θ. Sum: sin(A+B) = sinA cosB + cosA sinB. These are essential for simplifying expressions and solving trig equations. Memorize the Pythagorean identity — everything else derives from it.