If tan theta equals 1, what is the value of theta where theta is between 0 and 90 degrees?

B. 45^ — The tangent function takes the value 1 at 45 degrees. This is a standard value derived from the ratio of opposite to adjacent sides in an isosceles right triangle.

JEE Main · MathematicsEasy

$If tan (θ) = 1, find θ for 0^{\circ} < θ < 9 0^{\circ} .$

A. $3 0^{\circ}$
B. $4 5^{\circ}$
C. $6 0^{\circ}$
D. $9 0^{\circ}$

Show correct answer & step-by-step solution

Correct answer: B — $4 5^{\circ}$

Solution

tan (4 5^{\circ}) = 1 . Therefore, θ = 4 5^{\circ} .

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If tan(θ)=1, find θ for 0∘<θ<90∘.

Solution

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More Trigonometry practice questions

$If tan (θ) = 1, find θ for 0^{\circ} < θ < 9 0^{\circ} .$