Scientific Calculator — Trig, Log, Power, Factorial

Real-world use cases

• Checking a physics homework answer at the desk

  You worked out the range of a projectile as v^2 * sin(2*45) / 9.8 with v = 20. Type 20^2 * sin(2*45) / 9.8 in DEG mode and you get 40.8 m. Because sin(90) lands on exactly 1, you can see your hand arithmetic matched. Click the result in history to tweak v to 25 and watch the range jump to 63.8 without retyping the formula.

• Sizing a logarithmic axis for a lab chart

  Your sensor data spans 50 to 48000, so you want decade ticks. Type log(50) and log(48000) to get 1.70 and 4.68, then round outward to 1 and 5 for the axis bounds. ln is one button away when a model needs natural log instead, so you never mix up base-10 and base-e by reaching for the wrong key mid-calculation.

• Counting poker or lottery combinations for a stats class

  To find how many 5-card hands exist from 52 cards you need 52! / (5! * 47!). Compute 52! and 47! separately, or just key the full expression; the calculator caps factorials at 170! and warns on overflow rather than printing Infinity. The answer, 2598960, lines up with the textbook, and you can swap 5 for 2 to recount pair draws.

• Converting an angle before plugging it into a trig identity

  A problem gives 210 degrees but your derivation is in radians. Leave the toggle on DEG and type cos(210) for -0.866, then flip to RAD and type cos(7*pi/6) to confirm both routes agree. Seeing the same -0.866 twice catches the classic degree-versus-radian slip before it poisons the rest of the worksheet.

Common pitfalls

• Computing sin(30) in RAD mode and expecting 0.5. RAD reads 30 as radians and returns -0.988; switch to DEG, or in RAD write sin(pi/6) instead.

• Treating the % key as percentage. Here 50 % 20 gives 10 (the modulo remainder), not 10 as in "20% of 50"; use the percentage calculator for that.

• Forgetting precedence on roots and powers. 2^3! parses as 2^(3!) = 64, not (2^3)! = 40320; wrap the part you mean with parentheses to be sure.

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