If \(\tan(90° - A) = \sqrt{3}\), what is \(\sin A\)?
1/2
Using the co-function identity: \(\tan(90° - A) = \cot A\). So \(\cot A = \sqrt{3}\).
Therefore \(\tan A = \dfrac{1}{\sqrt{3}}\), which corresponds to \(A = 30°\).
\(\sin A = \sin 30° = \tfrac{1}{2}\).
Hence, the answer is 1/2.
If \(\tan A + \cot A = 4\), what is the value of \(\tan^2 A + \sec^2 A\)?
If \(\sin^2 A - \cos^2 A = \dfrac{1}{4}\), then find the value of \(\cos^2 A\).
If \(\cot A = x + \dfrac{1}{x}\), find \(\cosec^2 A\).
If \(\sin(90^\circ - x) = \cos(2x)\), then what is x?
If \(\cot A = \sqrt{3}\), what is the value of \((1+\sin A)(1+\cos A)\)?
If \(\sin x + \cos x = \sqrt{2}\), what is the value of \(\sin x - \cos x\)?
If \(\sin A + \cos A = x\), then find the value of \(\sin^2 A + \cos^2 A + 2\sin A \cos A\).
If \(\sin x = \cos x\), find \(\sin^4 x + \cos^4 x\).
If \(\sin A = \dfrac{m}{n}\), then what is the value of \((1 + \tan^2 A)\)?
If \(\sec A = 13/5\) and A is acute, find \(\sin A\).
What is the ratio of the greatest to the smallest value of 2 – 2 sin x – sin 2x, 0 ≤ x ≤ (π/2)?
If sinθ = \(\frac{4}{5}\) , Find the value of sin3θ
If x, y are acute angles, where 0 < x + y < 90° and sin(3x - 40°) = cos (3y + 40°), then the value of tan (x + y) is equal to
What is (1 + cot θ - cosec θ)(1 + tan θ + sec θ) equal to?
If cos x = p/q and 0° < x < 90°, then the value of tan x is: