SOLUTION: Calculate: A) Tan^2 225degrees-sin 60 degrees cos 30 degrees ( don't understand what the Tan to the exponent 2 means) B) cos 45 degrees sin 225 degrees+ cos 330 degrees

Question 1188581: Calculate:
A) Tan^2 225degrees-sin 60 degrees cos 30 degrees ( don't understand what the Tan to the exponent 2 means)

B) cos 45 degrees sin 225 degrees+ cos 330 degrees
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Calculate:
A) Tan^2 225degrees-sin 60 degrees cos 30 degrees ( don't understand what the Tan to the exponent 2 means)
----
It's the tan(225) squared
tan(225) = 1 ---> tan^2(225) = 1
-------
Use parentheses
A) Tan^2(225)-sin(60)*cos(30) =
= 1 - 3/4 = 1/4
=======================
B) cos(45)*sin(225)+cos(330 = cos(45)*(-sin(45)) + cos(30)

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

tan(225°) = 1

tan^2(225°) = 1^2 = 1

sin(60°) =

cos(30°) = .

Having these my hints, you do the rest.

The angles 0°, 30°, 45°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, 360°

are special angles, and EVERY student studying Trigonometry MUST know the values of all trigonometry functions at these angles

precisely in the same way as more young students know the multiplication table.

If you do not know it, it means that YOU ARE in WRONG CLASS.

//////////////

You can find these tables in the Internet, see the links

https://www.mathwords.com/t/trig_values_of_special_angles.htm

https://mathvox.com/table-of-the-trig-functions-of-special-angles/

https://www.livingston.org/cms/lib9/NJ01000562/Centricity/Domain/742/calc/Trig%20functions%20chart%20-%20answers.pdf

especially the last link.

RELATED QUESTIONS
which equation is true ? A) sin 30 degrees=sin 60 degrees B) sin 45 degrees = cos 45... (answered by Alan3354)
Used the symbol @ for the regular symbol. Given that cos@ = - 4/5 and @ is in Quadrant (answered by Edwin McCravy)
Find the exact value of the following without calculators: Sin^2 225degrees-cos^2 300... (answered by ikleyn)
Use the given information to find cos(x/2), sin(x/2), and tan(x/2): Cos (x)=-4/5... (answered by lwsshak3)
using the exact values find the numerical value of a. sin 30degrees cos 240degrees + sin (answered by stanbon,funmath)
please help me with the following questions 1. Determine the value of the following... (answered by KMST)
Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 (answered by lwsshak3)
Find the following ratios 1. Sin 13 degrees 2. Cos 84 degrees 3. Tan 27 degrees (answered by Alan3354)
using pythagorean identity to siplify the following expressions. a) cos^2 30 degrees + (answered by richard1234)