what is trignometry with formula please
Answers
The Pythagorean trigonometric identity, also called the fundamental Pythagorean trigonometric identity or simply Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions
sin (π/2 – x) = cos x cos (π/2 – x) = sin x
sin (π/2 + x) = cos x cos (π/2 + x) = – sin x
sin (3π/2 – x) = – cos x cos (3π/2 – x) = – sin x
sin (3π/2 + x) = – cos x cos (3π/2 + x) = sin x
sin (π – x) = sin x cos (π – x) = –
Trigonometry is the branch of mathematics which deals in measuring the angles, lengths, and heights of the triangle and other geometrical figures. The trigonometry formula can be used to solve the problems in a much better way. They are essential in solving questions related to Trigonometry ratios and Identities.
Shifting angle by π/2, π, 3π/2 (Co-Function Identities or Periodicity Identities)
sin (π/2 – x) = cos x cos (π/2 – x) = sin x
sin (π/2 + x) = cos x cos (π/2 + x) = – sin x
sin (3π/2 – x) = – cos x cos (3π/2 – x) = – sin x
sin (3π/2 + x) = – cos x cos (3π/2 + x) = sin x
sin (π – x) = sin x cos (π – x) = – cos x