Converting from one Trig Function to Another on a TI-Nspire Notes Page

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In this video I show you how I use a notes page with the math box ability to create a document that will convert from the sine of an angle to the sine of another angle, the cosine of another angle, the negative sine, and negative cosine of an angle. For example, sin(pi/15) = sin(14pi/15) = -sin(16pi/15) = -sin(31pi/15) = cos(13pi/30), etc. If you're a student this is a very useful document to have available for checking your work and making your own practice problems. If you're a teacher this is great for making problems for your students.

On the TI-Nspire CX II CAS we use: a notes page, math box, solve, and such that. We also change the attributes of our math boxes to look better. (This does only work on a CAS but will work on any TI-Nspire CAS, not just the CX or CX II.)
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This might be what I'm looking for? Hard to tell. Nspire gives me strange answers, almost always extracting a negative sign, and always favoring cos and sin, which, even after expanding a convoluted answer, is usually tough to decipher... when my handwritten work will be clean and simply written as sec and tan functions (for example), but, again, I won't have done the extra work the Nspire loves to do.

tl;dr tough to check/confirm answers with the calculator sometimes! not complaining tho. :)

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Hey I was wondering, because I am a freshmen and I am just learning trig. so I do and equation like sin(115), and I am using the same calculator as you, so I get an answer of 0.945435. But my classmates get a different answer on there calculators, and their answer is the right one. Can you help me with this?

audreya