PYTHON please solve it using python jupyter

Math 152 Lab 1 Use Python to solve cach problem. 1. Define a symbolic variables. a) Compute tan (sin(r) - 2 tan(r) when... = cos(x) - 2 b) Compute tan sin(x) - 2 tan(x) cos(x) - 2 when I =0.5. c) Based on your answers, state what the expression appears to be the same 28 - 1 (NOTE: you may either simplify your expression or use the evalf com- mand to convert your answers to decimals. 21 2. Given the curve parametrized by : 12+1 #) Use symbolic manipulations to show that the Cartesian equation of the curve is ir + - 1 b) Use the plot_parametric cornmand to sketch the graph on the domain (-10,10). 3. An antiderivative of a function f is given by (ax) dx = sin(ax) *cos(ar) a) Find f(0.6r) dir. b) Use the Fundamental Theorem of Calculus to find L* 8(0.6r) dr. Use evalf to give a decimal approximation 4. A triangle has sides of length 10cm and 12cm and has an area of 50 sq cm. a) Find the possible approximate values of the third length of the triangle (HINT: A = (s-a)(s - 5)(x-c) where a, b, and care the lengths of the sides and is the semiperimeter of the triangle) b) For each possible triangle, use the Law of Cosines to find the angle (ap- proximate value, in degrees) between the given sides. (NOTE that to tind the angle, the Law of Cosines can be written as (42 +62 - C = cos! /2 2ab