What is the meaning of all silver tea cups in trigonometry?
A in “All” stands for all the ratios in the first quadrant are positive. S in the “Silver” is for Sine and Cosecant in the second quadrant are alone positive. T in “Tea” is for Tan and Cotangent in the third quadrant are alone positive and. C in the “Cups” for the Cosine and Secant in the 4th quadrant are alone …
What is ASTC rule?
The abbreviation for ‘all sin cos tan’ rule in trigonometry is ASTC. This may be taken to indicate that all trigonometric ratios in the first quadrant are positive. The first letter of the second word Sindicates that sine and its reciprocal are positive in the 2nd quadrant.
What is the all silver tea cups?
is the way to remember ASTC rule in trigonometry. In the first quadrant (0° to 90°), all trigonometric ratios are positive. In the second quadrant (90° to 180°), sin and csc are positive and other trigonometric ratios are negative.
What is the value of cos 270 Theta?
0
We know the trigonometric identity cos(270∘+θ)=sinθ. Hence, the cosine of 270 degrees is 0.
What is the value of sin 90 Theta?
1
The exact value of sin 90 degrees is equal to 1.
What is the cast rule?
The CAST Rule. The CAST Rule says that in quadrant I all three of sinθ, cosθ, tanθ are positive. In quadrant II, only sinθ is positive, while cosθ, tanθ are negative. In quadrant III, only tanθ is positive, while sinθ, cosθ are negative.
What is Cosec in math?
Cosecant is one of the six trigonometric ratios which is also denoted as cosec or csc. The cosecant formula is given by the length of the hypotenuse divided by the length of the opposite side in a right triangle.
How many trigonometric formulas are there?
The six trigonometric functions are sine, cosine, secant, co-secant, tangent and co-tangent. By using a right-angled triangle as a reference, the trigonometric functions and identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse.
What is the formula for cos θ?
Sine, Cosine and Tangent
| Sine Function: | sin(θ) = Opposite / Hypotenuse |
|---|---|
| Cosine Function: | cos(θ) = Adjacent / Hypotenuse |
| Tangent Function: | tan(θ) = Opposite / Adjacent |