Alberta Free Tutoring And Homework Help For Math 20-1

  0

0 Tutors Online Right Now

the exact value of sin θ, if the terminal arm of the angle in standard position passes through the points (-3,4) is

5 years ago

Answered By Samuel L

From the Pythagorean theorem the hypotenuse can be calculated to be 5 units long. From the principal of sine function the sin(angle) = 4 / 5 which is 0.8. Sine in second quadrant is also positive! 


5 years ago

Answered By Majid B

 $\sin\left(\theta\right)=\frac{y}{\sqrt{x^2+y^2}}=\frac{4}{\sqrt{\left(-3\right)^2+4^2}}=\frac{4}{\sqrt{9+16}}=\frac{4}{\sqrt{25}}=\frac{4}{5}=0.8$sin(θ)=yx2+y2 =4(3)2+42 =49+16 =425 =45 =0.8