Subject: Mathematics
Book: Maths Mastery
Trigonometric equations like sin(x)=√3/2 or cos(x)=–1/2 require knowledge of standard angles and quadrants. For sin(x)=√3/2, principal solutions are x=60° or 120° in the range 0°–180° (or x=π/3 or 2π/3 in radians). Additional solutions repeat every 360° or 2π. Similarly, analyze signs for negative values to find the correct quadrants. These steps let you solve for unknown angles in physics wave problems, geometry angles, or cyclical models. Mastering these equations fosters a deeper ability to interpret sinusoidal relationships in real-world phenomena.
If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionIf a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionThe simple interest on Rs. 4000 at 5% per annum for 2 years is:
View QuestionIf a:b = 3:4 and b:c = 5:6, what is a:c?
View QuestionIf the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?
View QuestionWhat is the sum of all even numbers between 1 and 50?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionIf 2x = 16, what is the value of x?
View QuestionIf 5x - 2 = 13, what is the value of x?
View Question