$sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x$

I hope I helped you.

4 0

3 years ago

A square patio has an area of 170 square feet. How long is each side of the patio to the nearest tenth?

Pavlova-9 [17]

Since we know that squares have the same length on all sides, you would find the square root of 170
√170=13.03840481
rounded to the nearest tenth would be 13.1

You can check your work by multiplying 13.1 by 13.1 which equals 170.3

I try to explain the problem and give the answer, I hope this helps!

7 0

3 years ago

Respond using complete sentences and math language. Mike told his friend Jacky that 16 + 5 * 2 - 3 = 23. Jacky disagrees, she sa

slava [35]

22 hope this help enjoy ya day

4 0

2 years ago

Read 2 more answers

Which is the equation of a line that has a slope of 2 and contains the point (0,5)

riadik2000 [5.3K]

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=2(x-0) \\\\\\ y-5=2x\implies y=2x+5$

7 0

3 years ago