Given and tan θ = 3, determine the following.
Cos(90° - θ)

A)cos(90° - θ) =
B)cos(90° - θ) =
C)cos(90° - θ) =
D)cos(90° - θ) = 3
E)undefined

Question

Given  and tan θ = 3, determine the following. ​
Cos(90° - θ)
​
A)​cos(90° - θ) = 
B)​cos(90° - θ) = 
C)​cos(90° - θ) = 
D)​cos(90° - θ) = 3 
E)undefined

Quizplus · Accepted Answer

Since tan θ = 3, we can assign opposite = 3 and adjacent = 1 (using the tangent formula: tan θ = opposite/adjacent). 
Using the Pythagorean theorem, we can find the hypotenuse: 
hypotenuse² = opposite² + adjacent² 
hypotenuse² = 9 + 1 
hypotenuse = √10

Now, we can use the cosine formula: 
cos(90° - θ) = adjacent/hypotenuse
cos(90° - θ) = 1/√10

Multiplying the numerator and denominator by √10, we get:
cos(90° - θ) = √10/10
In hexadecimal format, this is:
11eacce6_1dc1_b662_9f49_8b9b0ec46b39_TB7896_11

Given and Tan θ = 3, Determine the Following