How can I solve this Trigonometry equation in RxR?

In summary, a trigonometry equation involves trigonometric functions and is used to solve for unknown angles or sides of triangles. The basic trigonometric functions are sine, cosine, and tangent, which relate the angles and sides of a right triangle. To solve a trigonometry equation, you must identify the given and unknown values and use the appropriate function and formula. Common trigonometric identities include the Pythagorean identities, double angle identities, and sum and difference identities. Trigonometry has various real-life applications, including engineering, construction, navigation, and astronomy. It is used to calculate heights, distances, and trajectories in real-world scenarios.
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Andrax
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Homework Statement


we have sin(3x)=cos(2y)
sin(x+pi/3)=cos(y-pi/3)
solve in RxR

Homework Equations





The Attempt at a Solution


i tried squaring both sides and turning everything to cos 2a then turning it into an XY=0
but that didn't help at all i ended up with y=0 which turned out to be wrong
 
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1. What is a trigonometry equation?

A trigonometry equation is an equation that involves trigonometric functions such as sine, cosine, and tangent. These equations can be used to solve for unknown angles or sides of triangles.

2. What are the basic trigonometric functions?

The basic trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions are used to relate the angles and sides of a right triangle.

3. How do you solve a trigonometry equation?

To solve a trigonometry equation, you must first identify the given information (angles or sides) and the unknown value. Then, use the appropriate trigonometric function and apply the appropriate formula to solve for the unknown value.

4. What are the common trigonometric identities?

Some common trigonometric identities include the Pythagorean identities (sin²θ + cos²θ = 1), the double angle identities (sin2θ = 2sinθcosθ), and the sum and difference identities (sin(θ ± φ) = sinθcosφ ± cosθsinφ).

5. How is trigonometry used in real life?

Trigonometry has many real-life applications, such as in engineering, construction, navigation, and astronomy. It is used to calculate the height of buildings, the distance between two points, and the trajectory of objects in motion, among other things.

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