About This Set
These 25 are harder than the first two sets and closer to Tier 2: most need two steps, a condition used before any value can be found, or a check that the answer you reach is allowed. Watch for a root that cannot be a cosine (anything below ), an answer that carries both signs () when the data allow both, and options that agree at , so that the usual check at that angle cannot choose between them. Items marked [Tier 2] (one on the triple-angle formula and a maximum that needs the double angle) are asked mainly in Tier 2, so leave them for later if you are preparing for Tier 1 alone. Allow about 35 minutes; 18 or more right means you are ready for the PYQ Practice Sets.