Question

Select all angle measures for which sin0= -√2/2

Answer 1

Answer:

5π/4 & 7π/4 & 13π/4

Step-by-step explanation:

For this problem, we simply need to find the value of theta for which arcsin(-sqrt(2)/2) is true.  This value is π/4 or 45 degrees if we had a positive.  To make the negative true, we need the angle to be in the third or fourth quadrants (i.e., 5π/4 and 7π/4).  These are two of the answer choices.  And then anytime these return (i.e., by adding 8/4 to either of these) should also be selected as a correct angle.  Thus we get 13π/4 as the final angle.

Answer 2

Answer:

Option 1

Step-by-step explanation:

$Total \: value \: of \: \pi \: in \: terms \: of \: angles \: = 180$

$So \: putting \: the \: of \: \pi \: in \: \frac{3\pi}{4} gives$

$\frac{3 \times 180}{4} = 3 \times 45 = 135 \: degrees$

$\sin(135) = \frac{- \sqrt{2} }{2} = \frac{-1}{ \sqrt{2} }$