HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 224
Example 1, Example 2, Example 3, Example 4
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hp40g+.book Page 42 Friday, December 9, 2005 1:03 AM TEXPAND 14-42 TCOLLECT linearizes this expression in terms of sin(n x) and cos(n x), then (in Real mode) reconstructs the sine and cosine of the same angle. Typing: TCOLLECT(SIN(X) + COS(X)) gives: 2 ⋅ cos⎝⎛x - π-4-⎠⎞ Develop transcendental expressions TEXPAND has as an argument a transcendental expression (that is, an expression with trigonometric, exponential or logarithmic functions). TEXPAND develops this expression in terms of sin(x), cos(x), exp(x) or ln(x). Example 1 Typing: TEXPAND(EXP(X+Y)) gives: exp(x)·exp(y) Example 2 Typing: TEXPAND(LN(X·Y)) gives: ln(y) + ln(x) Example 3 Typing: TEXPAND(COS(X+Y)) gives: cos(y)·cos(x)-sin(y)·sin(x) Example 4 Typing: TEXPAND(COS(3·X)) Computer Algebra System (CAS)