0 Basic Mathematics Flashcards
What is the value of 1 minute in degrees?
1 minute = 60’ = 1 Degree
What is the value of 1 radian?
1 radian = 180/Pi = 57.3 Degree
How to convert Degree to Radian?
Multiply by Pi/180
How to convert Radian to Degree?
Multiply by 180/Pi
What are the three trigonometric identities?
sin^2 A + cos^2 A = 1
1 + tan^2 A = sec^2 A
1 + cot^2 A = cosec^2 A
What is the value of sin(A+B) and sin(A-B)?
sin (A + B) = sin A cos B + cos A sin B
sin ( A - B) = sin A cos B - cos A sin B
What is the value of cos(A+B) and cos(A-B)?
cos (A+B) = cos A cos B - sin A sin B
cos (A-B) = cos A cos B + sin A sin B
What is the value of tan(A+B) and tan(A-B)?
tan (A+B) = tan A + tan B/1 - tanAtanB
tan(A-B) = tan A - tan B/1 + tanAtanB
What is the value of sin 2A?
sin 2 A = 2 sin A cos A
What are the values of cos 2A?
cos 2 A = cos^2 A - sin^2 A
= 2cos^2 A - 1
= 1 - 2sin^2 A
What is the value of tan 2A?
2tanA/1 - tan^2 A
If theta is very small, what are the values of -
1) sin A
2) cos A
3) tan A
sin A = A
cos A = 1
tan A = A
(A should be in radians)
What are the maximum and minimum values of sin A, cos A and tan A?
- 1 < sin A < 1
- 1 < cos A < 1
- ∞ < tan A < ∞
What are the formulae of calculating slope of a line?
Slope (m) = Δy/Δx = y2 - y1/x2 - x1
Slope (m) = tan A = Perpendicular/Base
What is the parallax formula?
θ = l/r = Arc Length/Radius
θ in radians
