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- https://math.libretexts.org/Courses/Laney_College/Math_3A%3A_Calculus_1_(Fall_2022)/03%3A_Derivatives/3.06%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Courses/Chabot_College/MTH_1%3A_Calculus_I/03%3A_Derivatives/3.04%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Bookshelves/Calculus/Calculus_by_David_Guichard_(Improved)/04%3A_Transcendental_Functions/4.05%3A_Derivatives_of_the_Trigonometric_FunctionsAll of the other trigonometric functions can be expressed in terms of the sine, and so their derivatives can easily be calculated using the rules we already have.
- https://math.libretexts.org/Bookshelves/Calculus/Calculus_by_David_Guichard_(Improved)/04%3A_Transcendental_Functions/4.04%3A_The_Derivative_of_sin_x_-_IINow we can complete the calculation of the derivative of the sine.
- https://math.libretexts.org/Courses/Mission_College/MAT_003A_Calculus_I_(Fineman)/03%3A_Derivatives/3.06%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT301_Calculus_I/03%3A_Derivatives/3.05%3A_Derivatives_of_Trigonometric_FunctionsBecause the proofs for \dfrac{d}{dx}(\sin x)=\cos x and \dfrac{d}{dx}(\cos x)=−\sin x use similar techniques, we provide only the proof for \dfrac{d}{dx}(\sin x)=\cos x. Before beginning, ...Because the proofs for \dfrac{d}{dx}(\sin x)=\cos x and \dfrac{d}{dx}(\cos x)=−\sin x use similar techniques, we provide only the proof for \dfrac{d}{dx}(\sin x)=\cos x. Before beginning, recall two important trigonometric limits we learned in Introduction to Limits: We also see that where f(x)=\sin x is increasing, f′(x)=\cos x>0 and where f(x)=\sin x is decreasing, f′(x)=\cos x<0.
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_221_Calculus_1/03%3A_Derivatives/3.06%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/03%3A_Derivatives/3.05%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Courses/City_University_of_New_York/Calculus_I_(CUNY)/03%3A_Derivatives/3.06%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/03%3A_Derivatives/3.06%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
- https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/Math_140%3A_Calculus_1_(Gaydos)/03%3A_Derivatives/3.04%3A_Derivatives_of_Trigonometric_FunctionsWe can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic tr...We can find the derivatives of sin x and cos x by using the definition of derivative and the limit formulas found earlier. With these two formulas, we can determine the derivatives of all six basic trigonometric functions.
