Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in decimal degrees rounded to seven decimal
places, if necessary.
-$\tan \theta = 2.0525017$
A) $115.975821 ^ { \circ }$
B) $64.0241786 ^ { \circ }$
C) $244.024179 ^ { \circ }$
D) $25.9758214 ^ { \circ }$

Question

Quizplus · Accepted Answer

To find the value of θ that satisfies $\tan \theta = 2.0525017$, we use the inverse tangent function: $\theta = \tan^{-1}(2.0525017)$. Calculating this gives a value of approximately $64.0241786^\circ$, which is within the range [0°, 90°].

Find a Value of θ in [0°, 90°] That Satisfies tan⁡θ=2.0525017\tan \theta = 2.0525017tanθ=2.0525017

Find a Value of θ in [0°, 90°] That Satisfies $\tan \theta = 2.0525017$