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The Tutor and Student worked through various trigonometric identity verification and equation-solving problems. They practiced using double angle formulas, factoring techniques, and handling domain restrictions to find all possible solutions. The Tutor also introduced a method for dealing with negative angles in trigonometric equations.

The Tutor and Student reviewed concepts in kinematics and vector mechanics, including displacement, velocity, acceleration, and the difference between speed and velocity. They practiced applying kinematic equations and Newton's second law to solve problems, and later analyzed forces in equilibrium using trigonometry. The next session will involve more practice problems.

The student and tutor reviewed and practiced solving various trigonometric equations and applying trigonometric identities. They covered techniques for solving equations involving secant, sine, and cosine, using sum and difference formulas, double angle formulas, product-to-sum, and sum-to-product identities. The session involved both guided problem-solving and independent practice, with a focus on finding general solutions and specific values for trigonometric functions.

The session covered advanced algebra topics including the remainder and factor theorems, and coordinate geometry, specifically focusing on the equations and properties of circles. The student practiced solving problems involving finding unknown coefficients, identifying circle centers and radii, and calculating tangent equations. The tutor also introduced methods for solving quadratic trigonometric equations.

The Student and Tutor reviewed function transformations, including stretches, compressions, reflections, and translations, and practiced applying these to sketch graphs. They then moved on to rationalizing denominators in indices and applied the Factor and Remainder Theorems to polynomials. The session concluded with a confirmation of understanding across these topics, with a plan for a follow-up session before an upcoming exam.

The class reviewed problems related to exponential decay and function transformations. The student practiced solving exponential equations using logarithms and applying various transformations (stretching, compressing, reflecting) to graphs and functions. Future topics may include further practice with transformations or other mathematical concepts.