If tan(A-B)= root3 and sinA=1 then find A and B
Answers
Sin A = Sin 90°
Using trigonometric table
A = 90°
Tan ( A - B) = √3
Tan (A - B) = Tan 60°.
[ using trigonometric tables]
A - B = 60°
90°- B = 60°
90° - 60° = B
Answer. A = 90°
B = 30°
Answer:
Concept:
Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations.There are six popular trigonometric functions for an angle.Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc). The ratio between the side opposed to an angle and the side opposite to the right angle (the hypotenuse), for instance, is known as the sine of the angle, or sin A; additional trigonometric functions are defined in a manner akin to this.
Before computers rendered trigonometry tables obsolete, these functions which are characteristics of the angle A regardless of the size of the triangle were listed for numerous angles.In a geometric figure, unknown angles and distances are calculated using trigonometric functions using known or measured angles.
Step-by-step explanation:
Sin A = 1
Sin A = Sin 90°
Using trigonometric table
A = 90°
Tan ( A - B) = √3
Tan (A - B) = Tan 60°.
[ using trigonometric tables]
A - B = 60°
90°- B = 60°
90° - 60° = B
A = 90°
B = 30°
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