Peak, from Dictionary.com:
–noun
1.
the pointed top of a mountain or ridge.
2.
a mountain with a pointed summit.
3.
the pointed top of anything.
4.
the highest or most important point or level: the peak of her political career.
5.
the maximum point, degree, or volume of anything: Oil prices reached their peak last year.
6.
a time of the day or year when traffic, use, demand, etc., is greatest and charges, fares, or the like are at the maximum: Early evening is the peak on commuter railroads.
7.
the higher fare, charges, etc., during such a period: If you fly during the Christmas holidays, you'll have to pay peak.
8.
Physics .
a.
the maximum value of a quantity during a specified time interval: a voltage peak.
b.
the maximum power consumed or produced by a unit or group of units in a stated period of time.
9.
a projecting point: the peak of a man's beard.
10.
widow's peak.
11.
a projecting front piece, or visor, of a cap.
12.
Phonetics . nucleus ( def. 8a ) .
13.
Nautical .
a.
the contracted part of a ship's hull at the bow or the stern.
b.
the upper after corner of a sail that is extended by a gaff.
c.
the outer extremity of a gaff.
–verb (used without object)
14.
to project in a peak.
15.
to attain a peak of activity, development, popularity, etc.: The artist peaked in the 1950s.
–verb (used with object)
16.
Nautical . to raise the after end of (a yard, gaff, etc.) to or toward an angle above the horizontal.
–adjective
17.
being at the point of maximum frequency, intensity, use, etc.; busiest or most active: Hotel rooms are most expensive during the peak travel seasons.
18.
constituting the highest or maximum level, volume, etc.; optimal; prime: a machine running at peak performance.
An example of peak in a sentence would be this:
They reached the peak of pleasure at the same time.
Pique, from Dictionary.com:
–verb (used with object)
1.
to affect with sharp irritation and resentment, esp. by some wound to pride: She was greatly piqued when they refused her invitation.
2.
to wound (the pride, vanity, etc.).
3.
to excite (interest, curiosity, etc.): Her curiosity was piqued by the gossip.
4.
to arouse an emotion or provoke to action: to pique someone to answer a challenge.
5.
Archaic . to pride (oneself) (usually fol. by on or upon ).
–verb (used without object)
6.
to arouse pique in someone: an action that piqued when it was meant to soothe.
–noun
7.
a feeling of irritation or resentment, as from a wound to pride or self-esteem: to be in a pique.
8.
Obsolete . a state of irritated feeling between persons.
An example of how pique would be used in a sentence is this:
Her curiousity was piqued when he said he would call later with details of what the weekend held in store for them.