A RetroSearch Logo

Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Search Query:

Showing content from https://dlmf.nist.gov/4.16 below:

§4.16 Elementary Properties ‣ Trigonometric Functions ‣ Chapter 4 Elementary Functions

§4.16 Elementary Properties Figure 4.16.1: Quadrants for the angle θ . Magnify Table 4.16.1: Signs of the trigonometric functions in the four quadrants. Quadrant sin ⁡ θ , csc ⁡ θ cos ⁡ θ , sec ⁡ θ tan ⁡ θ , cot ⁡ θ I + + + II + − − III − − + IV − + − Table 4.16.2: Trigonometric functions: quarter periods and change of sign. x − θ 1 2 ⁢ π ± θ π ± θ 3 2 ⁢ π ± θ 2 ⁢ π ± θ sin ⁡ x − sin ⁡ θ cos ⁡ θ ∓ sin ⁡ θ − cos ⁡ θ ± sin ⁡ θ cos ⁡ x cos ⁡ θ ∓ sin ⁡ θ − cos ⁡ θ ± sin ⁡ θ cos ⁡ θ tan ⁡ x − tan ⁡ θ ∓ cot ⁡ θ ± tan ⁡ θ ∓ cot ⁡ θ ± tan ⁡ θ csc ⁡ x − csc ⁡ θ sec ⁡ θ ∓ csc ⁡ θ − sec ⁡ θ ± csc ⁡ θ sec ⁡ x sec ⁡ θ ∓ csc ⁡ θ − sec ⁡ θ ± csc ⁡ θ sec ⁡ θ cot ⁡ x − cot ⁡ θ ∓ tan ⁡ θ ± cot ⁡ θ ∓ tan ⁡ θ ± cot ⁡ θ Table 4.16.3: Trigonometric functions: interrelations. All square roots have their principal values when the functions are real, nonnegative, and finite. sin ⁡ θ = a cos ⁡ θ = a tan ⁡ θ = a csc ⁡ θ = a sec ⁡ θ = a cot ⁡ θ = a sin ⁡ θ a ( 1 − a2 ) 1 / 2 a ⁢ ( 1 + a2 ) − 1 / 2 a − 1 a − 1 ⁢ ( a2 − 1 ) 1 / 2 ( 1 + a2 ) − 1 / 2 cos ⁡ θ ( 1 − a2 ) 1 / 2 a ( 1 + a2 ) − 1 / 2 a − 1 ⁢ ( a2 − 1 ) 1 / 2 a − 1 a ⁢ ( 1 + a2 ) − 1 / 2 tan ⁡ θ a ⁢ ( 1 − a2 ) − 1 / 2 a − 1 ⁢ ( 1 − a2 ) 1 / 2 a ( a2 − 1 ) − 1 / 2 ( a2 − 1 ) 1 / 2 a − 1 csc ⁡ θ a − 1 ( 1 − a2 ) − 1 / 2 a − 1 ⁢ ( 1 + a2 ) 1 / 2 a a ⁢ ( a2 − 1 ) − 1 / 2 ( 1 + a2 ) 1 / 2 sec ⁡ θ ( 1 − a2 ) − 1 / 2 a − 1 ( 1 + a2 ) 1 / 2 a ⁢ ( a2 − 1 ) − 1 / 2 a a − 1 ⁢ ( 1 + a2 ) 1 / 2 cot ⁡ θ a − 1 ⁢ ( 1 − a2 ) 1 / 2 a ⁢ ( 1 − a2 ) − 1 / 2 a − 1 ( a2 − 1 ) 1 / 2 ( a2 − 1 ) − 1 / 2 a

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.5