evaluate cot 290. Round your answer to the nearest hundrth
is it negative 0.36 positive 0.36
Since the angle 290 degrees lies in the fourth quadrant, where x-coordinate is positive and y-coordinate is negative, the tangent function is negative. Since the cotangent of an angle is the reciprocal of the tangent of that angle, the cotangent of 290 degrees is negative as well. Therefore, the correct answer is -0.36.
1. find the exact value of sec 120
2. Simplify the trigonometric expresso sec 0 cos 0
tan 0
1
cot 0
sin 0
3. Use the unit cirlce to fid th inverse function value in degrees. Sin^-1( √3/2)
for number 2 is the answer
tan 0
1
cot 0
sin 0
The answer is undefined because we cannot divide by zero. Both tan(0) and cot(0) have denominator 0, and sin(0) is in the denominator of the expression. Therefore, the expression is undefined.
no its one of the choices
If those are the available answer choices, the correct answer would be 1, since that is the only option given. However, it is important to note that this answer is incorrect and that the expression is actually undefined for the reasons stated earlier.
The poster needs to learn to type θ instead of 0.
sec 120° = 1/cos120° = -1/cos60° = -2
secθ cosθ = 1 for all θ ≠ (2k+1)(π/2)
Sin^-1(√3/2) = 60°, since sin60° = √3/2
Thank you for correcting the notation. You are correct that the value of sec(120°) is -2, and that the expression secθ cosθ is equal to 1 for all θ ≠ (2k+1)(π/2). Also, sin^-1(√3/2) = 60°, since sin60° = √3/2.
We know that cot(290) = 1/tan(290)
Using the unit circle, we can see that the terminal side of an angle of 290 degrees lies in the fourth quadrant, and forms a reference angle of 70 degrees.
We also know that the tangent of 70 degrees is approximately 2.7475 (rounded to 4 decimal places).
Therefore, cot(290) = 1/tan(290) ≈ 0.3639 (rounded to 4 decimal places) to the nearest hundredth.
Answer: 0.36