Question

find the value of
sin0°+sin30°+sin45°+sin60°
​

Answer 1

Answer:

What are the values of sin 30, sin 60, sin 45, and sin 90 in numericals?

Remember that the (x, y) coordinates are (cos(θ), sin(θ)). So, by using the graph you can see that sin(30)=1/2, sin(45)=√2/2, sin(60)=√3/2, and sin(90)=1.

If you want to find tan, cot, csc, or sec in the future, it is important to know these facts as well:

tan(θ)=sin(θ)/cos(θ)

cot(θ)=cos(θ)/sin(θ)

csc(θ)=1/sin(θ)

sec(θ)=1/cos(θ)

For example, tan(30)=sin(30)/cos(30)

tan(30)=(1/2)/(√3/2)

tan(30)=1/√3 (you shouldn’t leave a square root on the denominator so multiply the top and bottom of the fraction by √3 to cancel the square root out because √3*√3 =3)

Answer: tan(30)=√3/3

The sine of these particular angles forms a pretty pattern that makes them easy to remember:

[math]\displaystyle\sin 0^\circ = \frac{\sqrt 0}{2}[/math]

[math]\displaystyle\sin 30^\circ = \frac{\sqrt 1}{2}[/math]

[math]\displaystyle\sin 45^\circ = \frac{\sqrt 2}{2}[/math]

[math]\displaystyle\sin 60^\circ = \frac{\sqrt 3}{2}[/math]

[math]\displaystyle\sin 90^\circ = \frac{\sqrt 4}{2}[/math]

Modernize IT without any compromise - Dell PowerEdge servers.

Hope it helps you!

Thank You!

How do I prove sin 30° =1/2?

What does sin(60°) actually mean?

How can you prove that sin 10° sin 30° sin 50° sin 70° = 1/16?

sin0=0

sin30=½

sin45=1/√2

sin60=√3/2

sin 90=1

Hope this answer helps you…

Thank you…!

Your newborn may be vulnerable to these 6 serious diseases.

Look it up for yourself

Or you could use a scientific calculator or trigonometric functions of a spreadsheet software.

Sin30=1/2

Sin60=sqrt(3)/2

Sin45=sqrt(2)/2

Sin90=1

sin 30= -1/2

sin60=√3/2

sin45=1/√2

sin90=1