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  2. Identity crisis - Wikipedia

    en.wikipedia.org/wiki/Identity_crisis

    In psychology, identity crisis is a stage theory of identity development which involves the resolution of a conflict over eight stages of life. [1] [2] The term was coined by German psychologist Erik Erikson. The stage of psychosocial development in which identity crisis may occur is called identity cohesion vs. role confusion.

  3. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    The triangle shaded blue illustrates the identity + ⁡ = ⁡, and the red triangle shows that ⁡ + = ⁡. The basic relationship between the sine and cosine is given by the Pythagorean identity: sin 2 ⁡ θ + cos 2 ⁡ θ = 1 , {\displaystyle \sin ^{2}\theta +\cos ^{2}\theta =1,}

  4. Erikson's stages of psychosocial development - Wikipedia

    en.wikipedia.org/wiki/Erikson's_stages_of...

    Erikson is credited with coining the term "identity crisis". [28] He describes identity crisis as a critical part of development in which an adolescent or youth develops a sense of self. Identity crisis involves the integration of the physical self, personality, potential roles and occupations. It is influenced by culture and historical trends.

  5. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    Similar right triangles illustrating the tangent and secant trigonometric functions Trigonometric functions and their reciprocals on the unit circle. The Pythagorean theorem applied to the blue triangle shows the identity 1 + cot 2 θ = csc 2 θ, and applied to the red triangle shows that 1 + tan 2 θ = sec 2 θ.

  6. Integral of the secant function - Wikipedia

    en.wikipedia.org/wiki/Integral_of_the_secant...

    Twice the area of the purple triangle is the stereographic projection s = tan ⁠ 1 / 2 ⁠ ϕ = tanh ⁠ 1 / 2 ⁠ ψ. The blue point has coordinates (cosh ψ, sinh ψ). The red point has coordinates (cos ϕ, sin ϕ). The purple point has coordinates (0, s). The integral of the hyperbolic secant function defines the Gudermannian function:

  7. Identity disorder - Wikipedia

    en.wikipedia.org/wiki/Identity_disorder

    Identity disorder in the DSM was first listed as a separate diagnosis in version III (1980). [1] In the DSM-IV (1994), it was replaced by " Identity problem ", which was not defined as a mental disorder per se, but was listed in the chapter "Other Conditions That May Be a Focus of Clinical Attention". [ 2 ]

  8. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    In the integral , we may use = ⁡, = ⁡, = ⁡. Then, = ⁡ ⁡ = ⁡ (⁡) = ⁡ ⁡ = = + = ⁡ +. The above step requires that > and ⁡ > We can choose to be the principal root of , and impose the restriction / < < / by using the inverse sine function.

  9. Morrie's law - Wikipedia

    en.wikipedia.org/wiki/Morrie's_law

    Morrie's law is a special trigonometric identity.Its name is due to the physicist Richard Feynman, who used to refer to the identity under that name.Feynman picked that name because he learned it during his childhood from a boy with the name Morrie Jacobs and afterwards remembered it for all of his life.