Question

if sin teta-cos teta=1/2, then teta =
$if \sin teta - cos teta = \frac{1}{2} \: \: then \: \: teta \: =$
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I will mark as brainliest if u correctly answered

Answer 1

Answer:

Make sure mode is set to radians. To find \displaystyle \thetaθ, use the inverse sine function. On most calculators, you will need to push the 2ND button and then the SIN button to bring up the \displaystyle {\sin }^{-1}sin−1 function. What is shown on the screen is \displaystyle {\sin}^{-1}sin−1(. The calculator is ready for the input within the parentheses. For this problem, we enter \displaystyle {\sin }^{-1}\left(0.8\right)sin−1(0.8), and press ENTER. Thus, to four decimals places,

\displaystyle {\sin }^{-1}\left(0.8\right)\approx 0.9273sin−1(0.8)≈0.9273

The solution is

\displaystyle \theta \approx 0.9273\pm 2\pi kθ≈0.9273±2πk

The angle measurement in degrees is

θ≈53.1∘θ≈180∘−53.1∘ ≈126.9∘