SOLUTION: Can you please explain to me how to each of them? I get easily confused in trigonometry. 1) Calculate the length of line NO. https://byuis.brainhoney.com/Resource/46824921

Algebra.Com
Question 1041887: Can you please explain to me how to each of them? I get easily confused in trigonometry.

1) Calculate the length of line NO.
https://byuis.brainhoney.com/Resource/46824921,0/Assets/Media/Images/GEOM043_SB-3-9.jpg

2) If tan θ = 5/4, calculate the value of cos θ.
Use this picture for #3-5: https://byuis.brainhoney.com/Resource/46824921,0/Assets/Media/Images/GEOM043_SB-3-11.jpg
3) Calculate cos θ.
4) Calculate sin θ.
5) Calculate tan θ.

6) If cos θ = (2√10) / 7, calculate the value of sin θ. (two square root 10 divided by 7)
Found 2 solutions by Aldorozos, ikleyn:
Answer by Aldorozos(172)   (Show Source): You can put this solution on YOUR website!
1) We know that sin 60 = sqrt3/2
NO/OP = sin 60 = sqrt3/2
NO/24 = sqrt3/2 = 12sqrt3
2)
Using Pythagorean theorem we can calculate the smaller side of the right angle
(12)^2 - 10^2 = 144 - 100 = 44. Therefore the smaller side is the square root of 44 = sqrt44
We know now that COS = sqrt44/12
sin = 10/12
tan = sqrt44/10
6) We know that sin^2 + cos^2 = 1. We are given the cos = (2√10) / 7
We replace cos in the equation sin^2 + cos^2 = 1 with (2√10) / 7
sin^2 + 4(10)/49 = 1
sin^2 = 1- 40/49
sin^2 = + and - sqrt 9/49
sin = + 3/7 and -3/7
Answer by ikleyn(52910)   (Show Source): You can put this solution on YOUR website!
.
2) If tan θ = 5/4, calculate the value of cos θ.
~~~~~~~~~~~~~~~~~~~~~~~~~~`` 

Use this trigonometry identity:  = .

Then you have  =  =  =  = .

Hence,  = +/- .


RELATED QUESTIONS

hello please help me . I am a bit confused about radicals and how to solve them. In this... (answered by mananth)
9{[5(c-4)+15]-[3(5c-2)+4]}= I have been working on problems lke this one for the last... (answered by arallie)
I have the answer to this question , but I'm confused on what my professor did to get it. (answered by rothauserc)
A car dealer offer you two deals on a car that costs $16,000.00. Please calculate the... (answered by rfer)
Could someone please explain to me how you can find the orthocenter, circumcenter,... (answered by stanbon)
a. Choose a third animal. Calculate its speed in yards per second. Compare its speed with (answered by stanbon)
how do i solve this problem? can you explain it easily to me? thank you 43-72 divided (answered by nyc_function,richwmiller)
Determine which of the following lines, if any, are parallel or perpendicular. Line... (answered by Mathtut)
I'm confused on this problem, Solve: lnx - ln2 = 0 The answer is 2, but I have no idea... (answered by ikleyn)