If t = tan(θ/2), express 3 cos θ + 4 sin θ + 5 in terms of t.
Lagos State University MAT101 2024 past question
- 2(t + 2)²/(1 + t²)
- 2(t + 2)²
- 1 + t²
- 3√t + 4t^(1/3)
Register free to see the answer and step-by-step explanation
More Lagos State University MAT101 2024 past questions
Related questions
- Find the set of values of p for which the equation x² + px + 2p − 3 = 0 has no real roots.
- The sum of the first ten terms of an arithmetic series is 60 and the sum of the first twenty-two terms is 220. Find the common difference a…
- Use mathematical induction to find the sum to n terms of the series 1/(1·2) + 1/(2·3) + ... + 1/[n(n + 1)].
- Let N be the universal set of all integers, with P = {x : x is a prime number}, Q = {x : x is a multiple of 4} and R = {x : x is an even nu…
- With N the set of all integers, P = {primes}, Q = {multiples of 4} and R = {even numbers}, find P ∩ R ∩ Q′.
- With N the set of all integers, P = {primes}, Q = {multiples of 4} and R = {even numbers}, find Q ∪ [R ∩ (P′ ∩ Q′)].
