Mathematics 2015 JAMB Past Questions - Question 27: In a right angled triangleif tan ѳ = ¾. What is cox ѳ – sin ѳ

Correct Answer

A

Explanation

tan ѳ = ¾.y² = 3² + 4²y² = 25 i.e y = 5Given that tan(θ) = 3/4, we can use this information to find the values of cosine and sine of θ.We know that tan(θ) = sin(θ) / cos(θ). So, if tan(θ) = 3/4, then sin(θ) = 3 and cos(θ) = 4.Now, we can find the value of cos(θ) - sin(θ):cos(θ) - sin(θ) = 4 - 3 = 1Therefore, cos(θ) - sin(θ) = 1.