Given that a = -3/4 and a is in the interval p,3p/2p, 3p/2p,3p/2, let's find sinaaa, tanaaa, and cotaaa.
First, let's find the reference angle for 'a' within the given interval p,3p/2p, 3p/2p,3p/2.
a = -3/4To find the reference angle, we add 2π to a in order to get it in the desired interval:
a = -3/4 + 2πa = 5π/4
Now, we will find sinaaa, tanaaa, and cotaaa.
sinaaa = sin5π/45π/45π/4 sin5π/45π/45π/4 = -√2 / 2
tanaaa = tan5π/45π/45π/4 tan5π/45π/45π/4 = sin5π/45π/45π/4 / cos5π/45π/45π/4 tan5π/45π/45π/4 = -√2 / 2 / −1/√2-1 / √2−1/√2 tan5π/45π/45π/4 = √2
cotaaa = 1 / tan5π/45π/45π/4 cot5π/45π/45π/4 = 1 / √2
Therefore, sinaaa = -√2 / 2, tanaaa = √2, and cotaaa = 1 / √2.
Given that a = -3/4 and a is in the interval p,3p/2p, 3p/2p,3p/2, let's find sinaaa, tanaaa, and cotaaa.
First, let's find the reference angle for 'a' within the given interval p,3p/2p, 3p/2p,3p/2.
a = -3/4
To find the reference angle, we add 2π to a in order to get it in the desired interval:
a = -3/4 + 2π
a = 5π/4
Now, we will find sinaaa, tanaaa, and cotaaa.
sinaaa = sin5π/45π/45π/4 sin5π/45π/45π/4 = -√2 / 2
tanaaa = tan5π/45π/45π/4 tan5π/45π/45π/4 = sin5π/45π/45π/4 / cos5π/45π/45π/4 tan5π/45π/45π/4 = -√2 / 2 / −1/√2-1 / √2−1/√2 tan5π/45π/45π/4 = √2
cotaaa = 1 / tan5π/45π/45π/4 cot5π/45π/45π/4 = 1 / √2
Therefore, sinaaa = -√2 / 2, tanaaa = √2, and cotaaa = 1 / √2.