Question

If sin(θ)=3√4 and cos(θ)=−134−−√ what is tan(θ)?

Answer 1

To calculate tan(θ), you must divide sin(θ) by cos(θ), but there is a typo in the cos(θ) value provided. Assuming proper values are given, the process is straightforward as shown in an example calculation.

Step-by-step explanation:

To find tan(θ) when given sin(θ) and cos(θ), we use the definition of the tangent function, which is the ratio of the sine to the cosine of the angle. However, there seems to be a typographical error in cos(θ) = −134−√. Assuming that cos(θ) has a valid value, the process would be to simply divide the sine of θ by the cosine of θ.

An example using correct sine and cosine values could be:

• Let's assume sin(θ) = 3/5 and cos(θ) = -4/5.
• Then, tan(θ) = sin(θ) / cos(θ) = (3/5) / (-4/5) = -3/4.

It's critical to fix the cosine value before proceeding with the calculation.