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3 years ago

What are the simplified forms of the expression

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

It's is A and D.

Step-by-step explanation:

Tan^2 theta cos 2theta

= (sin^2 theta / cos^2 theta )( 2 cos^2 theta - 1)

= 2 sin^2 theta - sin^2 theta / cos^2 theta

= 2 sin^2 theta - tan^2 theta.

Tan^2 theta cos 2theta

= ( 1 / cot^2 theta) * cos 2theta

= cos 2theta / cot^2 theta.

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There are x number of students at helms. If the number of students increases by 7.8% each year, how many students will be there

vodomira [7]

There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x

<h3><u>Solution:</u></h3>

Given, There are "x" number of students at helms.

The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x

Number of students in next year = number of students in present year + increased number of students.

$\begin{array}{l}{\text { Number of students in next year }=x+7.8 \% \text { of } x} \\\\ {\text { Number of students in next year }=x\left(1+\frac{7.8}{100}\right)} \\\\ {\text { Number of students in next year }=x(1+0.078)=1.078 x}\end{array}$

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