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