For right triangle ΔRST shown below, what is tan R?

The minimum value of tan B tanC in an acute angled triangle ABC is-

In a ΔABC, b=3–√+1, c=3–√−1, ∠A=60°Δ𝐴𝐵𝐶, 𝑏=3+1, 𝑐=3-1, ∠𝐴=60°, then the value of tan(B−C2)tan𝐵-𝐶2 is

Interpret the statement tan⁡(63.43°)≈2. aIn a right triangle with an acute angle measuring 63.43°, the hypotenuse is approximately double the adjacent leg. bIn a right triangle with an acute angle measuring 63.43°, the leg adjacent to the 63.43° angle has a length that is approximately double the opposite leg. cIn a right triangle with an acute angle measuring 63.43°, the leg opposite to the 63.43° angle has a length that is approximately double the adjacent leg. dIn a right triangle with an acute angle measuring 63.43°, the hypotenuse is approximately double the opposite leg.

In ΔRST, s = 150 inches, mm∠S=165° and mm∠T=10°. Find the length of r, to the nearest inch.

Which of the following is equal to the exact value of tan⁡210∘?