Question
If \( \cos(a) = 0.5 \), what is \( \sin\left(\frac{\pi}{2} - a\right) \) using co-function identities?
Ask by Bond Turner. in South Africa
Jan 20,2025
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Tutor-Verified Answer
Answer
\(\sin\left(\frac{\pi}{2} - a\right) = 0.5\)
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Beyond the Answer
Using co-function identities, we know that \( \sin\left(\frac{\pi}{2} - a\right) = \cos(a) \). Since it is given that \( \cos(a) = 0.5 \), we can directly substitute this value into the equation. Thus, we have: \[ \sin\left(\frac{\pi}{2} - a\right) = \cos(a) = 0.5 \] Therefore, \( \sin\left(\frac{\pi}{2} - a\right) = 0.5 \).
