To find the values of 𝜃 where 𝑘𝜃 = -1, we first set the function 𝑘𝜃 equal to -1 and solve for 𝜃.

2sin𝜃 = -1

We divide both sides by 2 to isolate sin𝜃:

sin𝜃 = -1/2

Now we need to find the values of 𝜃 in the interval 0≤𝜃

Question

To find the values of 𝜃 where 𝑘𝜃 = -1, we first set the function 𝑘𝜃 equal to -1 and solve for 𝜃.

2sin𝜃 = -1

We divide both sides by 2 to isolate sin𝜃:

sin𝜃 = -1/2

Now we need to find the values of 𝜃 in the interval 0≤𝜃<2𝜋 where the sine function equals -1/2.

The sine function equals -1/2 at 𝜃 = 7𝜋/6 and 𝜃 = 11𝜋/6 in the interval 0≤𝜃<2𝜋.

So, the values of 𝜃 where 𝑘𝜃 = -1 are 𝜃 = 7𝜋/6 and 𝜃 = 11𝜋/6.

Knowee AI · Accepted Answer

To find the values of 𝜃 where 𝑘𝜃 = -1, we first set the function 𝑘𝜃 equal to -1 and solve for 𝜃.

2sin𝜃 = -1

We divide both sides by 2 to isolate sin𝜃:

sin𝜃 = -1/2

Now we need to find the values of 𝜃 in the interval 0≤𝜃<2𝜋 where the sine function equals -1/2.

The sine function equals -1/2 at 𝜃 = 7𝜋/6 and 𝜃 = 11𝜋/6 in the interval 0≤𝜃<2𝜋.

So, the values of 𝜃 where 𝑘𝜃 = -1 are 𝜃 = 7𝜋/6 and 𝜃 = 11𝜋/6.

The function 𝑘 is given by 𝑘𝜃=2sin𝜃. What are all values of 𝜃, for 0≤𝜃<2𝜋, where 𝑘𝜃=-1 ?