def test_sqrt_of_square_num(x):
assert latex_eval("sqrt({})".format(x**2)) == str(x)
def test_sin_odd(pair, period):
"""Test cos is an even function"""
assert latex_eval("sin({}*pi + {}*pi)".format(pair[0], 2 * period)) == \
latex_eval("-sin(-({}*pi + {}*pi))".format(pair[0], 2 * period))
def test_sqrt_of_square_num_2(x):
assert latex_eval("sqrt({}^2)".format(x)) == str(x)
def test_cos_even(pair, period):
"""Test cos is an even function"""
assert latex_eval("cos({}*pi + {}*pi)".format(pair[0], 2 * period)) == \
latex_eval("cos(-({}*pi + {}*pi))".format(pair[0], 2 * period))
def test_cos_periodicity(pair, period):
"""Test cos has period 2pi"""
assert latex_eval("cos({}*pi + {}*pi)".format(pair[0], 2 * period)) == \
latex_eval(pair[1])
def test_sin_periodicity(pair, period):
"""Test sin has period 2pi"""
assert latex_eval("sin({}*pi + {}*pi)".format(pair[0], 2 * period)) == \
latex_eval(pair[1])
def test_cos_pis(x):
"""Test cos(n*pi) = 1 for even n and -1 for odd n"""
if x % 2 == 0:
assert latex_eval("cos({}*pi)".format(x)) == "1"
else:
assert latex_eval("cos({}*pi)".format(x)) == "-1"
def test_sin_pis(x):
"""Test sin(n*pi) = 0 for all integers"""
assert latex_eval("sin({}*pi)".format(x)) == "0"