## How do you solve for sine?

## How do you do law of sines with AAS?

## How do you use the law of sines on a calculator?

## How do you find an angle using the law of sines?

The

**Law of Sines**states: a stands for the side across from**angle**A, b is the side across from**angle**B, and c is the side across from**angle**C. This**law**is extremely useful because it works for any triangle, not just a right triangle.## Does law of sines work for all triangles?

The

**Sine**Rule**can**be used in any**triangle**(not just right-angled**triangles**) where a side and its opposite angle are known. You will only ever need two parts of the**Sine**Rule formula, not**all**three. Remember that each fraction in the**Sine**Rule formula should contain a side and its opposite angle.## What is the law of sines and cosines?

The

**Law of Sines**establishes a relationship between the angles and the side lengths of ΔABC: a/sin(A) = b/sin(B) = c/sin(C).**Sine**is always positive in this range;**cosine**is positive up to 90° where it becomes 0 and is negative afterwards.## Does law of sines work with radians?

Originally Answered:

**Do**sin and cosine**work**similarly with**radians**as with degrees? Absolutely! When you convert degrees into**radians**and then plug it into a trigonometric function that uses**radians**as an input, the output will be the same.## Who discovered the law of sines?

According to Ubiratàn D’Ambrosio and Helaine Selin, the spherical

**law of sines**was**discovered**in the 10th century. It is variously attributed to Abu-Mahmud Khojandi, Abu al-Wafa’ Buzjani, Nasir al-Din al-Tusi and Abu Nasr Mansur. All of them were Persian mathematicians and scientists.## When can I use the law of sines?

When to

**use the law of sines**formula When you know 2 sides and the non-included angle or when you know 2 angles and the non-included side . We **can use** the formula because we are working with 2 opposite pairs of sides/angles . We **can use** the formula because we are working with 2 opposite pairs of sides/angles .

## What is the law of Triangle?

What is

**Triangle Law**of Vector Addition?**Triangle law**of vector addition states that when two vectors are represented as two sides of the**triangle**with the order of magnitude and direction, then the third side of the**triangle**represents the magnitude and direction of the resultant vector.## What is the law of sines ambiguous case?

For those of you who need a reminder, the

**ambiguous case**occurs when one uses the**law of sines**to determine missing measures of a triangle when given two sides and an angle opposite one of those angles (SSA). If angle A is acute, and a > b, one possible triangle exists.## How do you know if the law of sines has two solutions?

## Which type of problems can you use law of sines to solve?

It is valid for all

**types**of triangles: right, acute or obtuse triangles. The**Law of Sines can**be**used**to compute the remaining sides of a triangle when two angles**and**a side**are**known (AAS or ASA) or when**we are**given two sides**and**a non-enclosed angle (SSA).**We can use**the**Law of Sines**when**solving**triangles.## What is ambiguous triangle?

The “

**Ambiguous**Case” (SSA) occurs when we are given two sides and the angle opposite one of these given sides. The**triangles**resulting from this condition needs to be explored much more closely than the SSS, ASA, and AAS cases, for SSA may result in one**triangle**, two**triangles**, or even no**triangle**at all!## How do you tell if there are 2 triangles?

Once you find the value of your angle, subtract it from 180° to find the possible second angle. Add the new angle to the original angle.

**If**their sum is less than 180°, you have**two**valid answers.**If**the sum is over 180°, then the second angle is not valid.## How do you determine if you have 0 1 or 2 triangles for the ambiguous case?

## In which cases can we use the law of sines to solve the triangle?

The

**law of sines**is**used**to**solve triangles**in which**you**know only two angles and**one**of the opposing sides (called AAS for angle-angle-side), or two sides and**one**of the opposing angles (called SSA for side-side-angle).## What is sin a and sin B?

Simply, it states that the ratio of the length of a side of a triangle to the

**sine**of the angle opposite that side is the same for all sides and angles in a given triangle. In ΔA**B**C is an oblique triangle with sides a,**b**and c , then a**sin**A=**bsinB**=c**sin**C .## For which unknowns is the law of sines not used?

A

**sine law**is**used**to relate the sides of a triangle to its angles. Thus, it is only applicable if the 2 sides and an angle is known, also when 2 angles and one side. This leaves that an angle and two opposite sides cannot be**used**for**sine law**.## What is sin 2A?

We will learn to express trigonometric function of

**sin 2A**in terms of A. We know if A is a given angle then**2A**is known as multiple angles. Therefore,**sin**60° = 2**sin**30° cos 30°. The above formula is also known as double angle formulae for**sin 2A**.David Nilsen is the former editor of Fourth & Sycamore. He is a member of the National Book Critics Circle. You can find more of his writing on his website at davidnilsenwriter.com and follow him on Twitter as @NilsenDavid.