It is given that sin(θ)=15√. In addition, a and b are coprime positive integers such that cos(2θ)=ab. What is the value of a+b?
Your statement sin(ƒÆ)=15�ã
doesn't make sense.
^Yeah theta has to be in degrees, or radians. Sq rt of 15 can't be right
If you are trying to write sqrt(15), write it as �ã15, not 15�ã.
A sine can not exceed 1, buy the way
may this be correct question
It is given that sin(θ)=1/√5. In addition, a and b are coprime positive integers such that cos(2θ)=a/b. What is the value of a+b?
To find the value of a+b, we need to determine the values of a and b separately.
Given that sin(θ) = 15√, we can use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find the value of cos(θ).
sin²(θ) + cos²(θ) = 1
(15√)² + cos²(θ) = 1
225 + cos²(θ) = 1
cos²(θ) = 1 - 225
cos²(θ) = -224
Since cos(θ) is a real number between -1 and 1, and the squared value cannot be negative, we conclude that there is no real value of θ that satisfies sin(θ) = 15√.
Hence, it is not possible to determine the values of a and b, and therefore we cannot find the value of a+b.