fishinggirl22 fishinggirl22

13-05-2022
Mathematics

contestada

Simplify (sinx + cosx) ^2/ sin2x

Respuesta :

Hrishii Hrishii

13-05-2022

[tex]\csc 2x+1[/tex]

Step-by-step explanation:

[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]

We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex]

[tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex]

[tex]= \frac{1+\sin2x}{\sin2x}[/tex]

[tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex]

[tex]=\csc 2x+1[/tex]

Answer Link

Otras preguntas

solve for x -3(x + 3)= -3 (x + 1) - 5

When a partnership is terminated, the assets are turned into cash, and obligations are paid .dissolution. termination. realization. None of the above

The act of making your body engage in movement that results from skeletal muscle contraction is called ____________ .

It is possible to zone a walk-in to maintain appropriate temperature and humidity levels for storing various foods. a. True b. False

This poem describes a train as if it were a horse.Which lines uses imagery to describe the train arriving at the station for the night?

In this problem you will use variation of parameters to solve the nonhomogeneous equation y′′+6y′+9y=−2e−3t

Name the property of equality that you would use to solve 2 = 3/4 + x

please H E L P! Thanksss

Which of the following best represents the average speed of a fast runner? 10 meters per second 10 miles per minute 10 centimeters per hour 10 kilometers pe

The half-life for the radioactive decay of ce−141 is 32.5 days. if a sample has an activity of 3.8 μci after 162.5 d have elapsed, what was the initial activity