Subject: Mathematics
Book: Maths Mastery
More complex trig equations involve identities (sin²x+cos²x=1, tan²x+1=sec²x) or transformations (e.g., rewriting sin(2x)=2sin(x)cos(x)). For instance, to solve sin(2x)=√3/2, replace sin(2x) with 2sin(x)cos(x) if needed, or interpret 2x angles. Factor or rearrange to isolate x. These equations appear in wave interference, engineering vibrations, or advanced geometry. Systematically applying identities and known angles ensures precise solutions across multiple intervals. Deep practice fosters agility in unraveling cyclical equations that drive modern science and technology.
If a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionThe ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionIf the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?
View QuestionIf sin(A) = 1/2 and A is acute, what is the value of A?
View QuestionHow many ways can 4 people sit in a row?
View QuestionIf sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionIf two complementary angles differ by 30°, what are the angles?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View Question