Determine whether or not the equation below is true for all values of t for which both sides are defined.
If it is not true, give a specific counterexample, using an angle which is a multiple of π/6, π/4, π/3, π/2, or π, indicating what each side works out to be for that counterexample (remember, you must choose a counterexample for which both sides are defined).
If it is true, show why it is true, using algebra and the Fundamental Identities to go from one side to the other, justifying your steps.
In all cases, KEEP SIDES SEPARATE.
1) cot(t) + tan(t) = csc(t) sec(t)
2) [cot(t) + csc(t)][tan(t) – sin(t)] = sec(t) – cos(t)
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