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R live on 6th floor. T lives immediately below R. Only two persons live between R and U. V live above U but not at the topmost floor. W cannot sit on topmost floor because no two persons according to alphabetical order live adjacent to each other
If x = r sin A cos B, y = r sin A sin B and z = r cos A, then find x² + y² + z².
What is the value of 4/3 (sin ² 65 º + sin ² 25 º ).
If tan α = 1/2, tan β = 1/3, then find α + β.
If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is
If tan A = 4/3, 0 ≤ A ≤ 90°, then find the value of sec A.
If sin (2x + 50) o = cos (2y - 50) o, such that, 0o < x + y < 90o, then find the value of tan(x + y) .
If θ is a positive acute angle and cos² θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?