Singapore JC students must know the Pythagorean identities (sin²x + cos²x = 1), reciprocal identities (e.g., csc x = 1/sin x), quotient identities (tan x = sin x/cos x), and angle sum/difference identities.
Understand the basic shapes of sin, cos, and tan graphs. Know how amplitude, period, and phase shifts affect these graphs. Then, sketch the graphs and use them to find solutions to trigonometric equations or inequalities.
Simplify the equation using trigonometric identities, isolate the trigonometric function, find the general solutions, and then determine the specific solutions within the given interval.
Identify the right triangle or periodic behavior in the problem. Set up a trigonometric equation based on the given information. Solve the equation to find the unknown quantities such as angles, heights, or distances.
Forgetting the ± sign when taking square roots, not considering all possible solutions within the given interval, and misapplying trigonometric identities. Practice regularly and double-check your work.
Radians are crucial. Many H2 Math problems use radians instead of degrees. Make sure you are comfortable converting between radians and degrees and using radians in trigonometric functions and formulas.
Consult your textbook, past year papers, and online resources like Khan Academy or H2 Math tuition providers in Singapore. Seek help from your teachers or tutors when you encounter difficulties.