a) Solve the trigonometric equation: A = cosX + AsinX, for some angle X.
b) The imaginary number i is equal to √-1. Use part a) to solve i = cosX + isinX.
You will have used degrees to answer parts a) and b). However, the mathematics below requires the use of radians. Convert degrees to...
6b) tanh^2(x) + 1/cosh^2(x) = 1
Could someone help start me off? I know that you have to sub in (e^x + e^-x)/2 for cosh and (e^x - e ^-x)/(e^x + e ^-x) for tanh. Then I'd add these together, but I'm not sure how I'd solve/simplify them arithmetically after that.
Help would be appreciated! thanks.
9) A student records the internal temperature of a hot sandwich that has been left to cool on a kitchen counter. The room temperature is 19 degrees Celsius. An equation that models this situation is $$T(t) = 63(0.5)^\frac{t}{10} + 19$$ where $$T$$ is the temperature in degrees Celsius and $$t$$...
So, this is probably really simple...but I keep getting the wrong answer when trying to simplify this:
$$3\sqrt{\frac{(10x^3)^2}{(10x^6)^{-1}}}$$Could someone show the steps to simplifying it? Thanks so much. (: