Based on Pythagorean identities, which equation is true? A. sin 2 ⁡ θ − 1 = cos 2 ⁡ θB. sec 2 ⁡ θ − tan 2 ⁡ θ = − 1C. - cos 2 ⁡ θ − 1 = sin 2 ⁡ θD. cot 2 ⁡ θ − csc 2 ⁡ θ = − 1

Question

Based on Pythagorean identities, which equation is true? A.       sin    2    ⁡  θ  −  1  =      cos    2    ⁡  θB.       sec    2    ⁡  θ  −      tan    2    ⁡  θ  =  −  1C. -      cos    2    ⁡  θ  −  1  =      sin    2    ⁡  θD.       cot    2    ⁡  θ  −      csc    2    ⁡  θ  =  −  1

Hudson Fry · Accepted Answer

Pythagorean identity is       cos    2    ⁡  (  x  )  +      sin    2    ⁡  (  x  )  =  1.What is Pythagorean identity?The Pythagoras Trig Identities are the trigonometric identities that are the true trigonometric functions of the Pythagoras Theorem. The basic identities are      sin    2    ⁡  θ  +      cos    2    ⁡  θ  =  1        tan    2    ⁡  θ  +  1  =      sec    2    ⁡  θ        cot    2    ⁡  θ  +  1  =  c  o  s  e      c    2    θNow,       cot    2    ⁡  θ  −  c  o  s  e      c    2    θ  =  −  1 is matching with the identity       cot    2    ⁡  θ  +  1  =  c  o  s  e      c    2    θ. Therefore, option D is the correct answer.

Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2 theta-1= sin^2 theta D. Cot^2 theta - csc^2 theta=-1

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