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The sine of $90$ equals
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$derivdef\left(1+\cos\left(90\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of sin(90)+cos(90) using the definition. The sine of 90 equals . The cosine of 90 equals . Add the values 1 and 0. Find the derivative of 1 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 1. Substituting f(x+h) and f(x) on the limit, we get.