Seudónimo Seudónimo
  • 19-02-2021
  • Spanish
contestada

solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2​

Respuesta :

Аноним Аноним
  • 04-03-2021

Answer:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

Answer Link

Otras preguntas

What is the difference between domain and range?
simplify complex fraction3/4 + 1/3/1/6 + 3/4
Given two sides with lengths 34 and 14, which of these lengths would NOT work for the third side of a triangle? 18, 34, 44, 22, 40
find the missing endpoint given one endpoint and midpoint 2) endpoint- ( -4,1) midpoint-(-1,3)
find value of x and y 2.) 4x+13y=40 4x+3y=-40
Simplify the numerator and the denominator separately, then find the quotient -3(-2)/5-(-1)=? Quotient=?
solve this system of equation by substitution-2x-y=-95x-2y=18
Solve Equation log (x-9) = 1 - log x
Match each expression with its simplified form. 1. a/(a^2-4)+2/(3a+6) 2.5/a+7 3.a/ab-3/b 4.6/ab+8/a 5.3a/4b^2-b/6a
What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2