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   Are all right angled triangles similar?

   • All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them. The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer the hypotenuse.

   List of trigonometric identities - Wikipedia

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   What is a triangle identity?

   • Geometrically, these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities potentially involving angles but also involving side lengths or other lengths of a triangle .

   List of trigonometric identities - Wikipedia

   en.wikipedia.org/wiki/List_of_trigonometric_identities

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   What is a reciprocal identity in a triangle?

   • For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them. The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer the hypotenuse. The triangle shaded blue illustrates the identity , and the red triangle shows that .

   List of trigonometric identities - Wikipedia

   en.wikipedia.org/wiki/List_of_trigonometric_identities

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   What is the length of a symmetrical pair of red triangles?

   • By the inscribed angle theorem, the central angle subtended by the chord at the circle's center is twice the angle , i.e. . Therefore, the symmetrical pair of red triangles each has the angle at the center. Each of these triangles has a hypotenuse of length , so the length of is , i.e. simply .

   List of trigonometric identities - Wikipedia

   en.wikipedia.org/wiki/List_of_trigonometric_identities

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3. en.wikipedia.org › wiki › List_of_trigonometricList of trigonometric identities - Wikipedia

   en.wikipedia.org › wiki › List_of_trigonometric

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   1 day ago · The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer the hypotenuse. The triangle shaded blue illustrates the identity 1 + cot 2 ⁡ θ = csc 2 ⁡ θ {\displaystyle 1+\cot ^{2}\theta =\csc ^{2}\theta } , and the red triangle shows that tan 2 ⁡ θ + 1 = sec 2 ⁡ θ {\displaystyle \tan ^{2}\theta +1=\sec ^{2}\theta } .

4. en.wikipedia.org › wiki › DeftonesDeftones - Wikipedia

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   1 day ago · Deftones. Deftones is an American alternative metal band formed in Sacramento, California in 1988. They were formed by frontman Chino Moreno, lead guitarist Stephen Carpenter and drummer Abe Cunningham, with bassist Chi Cheng and keyboardist and turntablist Frank Delgado joining the line-up in 1990 and 1999, respectively.