Question
In an examination, 4 marks are given for each correct
answer and 1 mark is deducted for each wrong answer. If a candidate solved 75 questions and got 125 marks, then how many of his answers were correct?Solution
Total questions: x + y = 75. Total marks: 4x- y = 125. Substitute y =75-x into the second equation: 4x -(75-x) = 125 5x-75 = 125 5x =200 x=40 Thus, Â the candidate answered 40 questions correctly.
- If (sin 3A sec 6A = 1) , then what will be the value of cos 6A?
Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.
sin2 12˚ + sin2 14˚ + sin2 16˚ + sin2 18˚ + ……… + sin2 78˚ =?
If 2x = cosec @ and 4/x = cot @ then the value of 2(x ² - 1/x ² ) is
Find the value of the given trigonometric expression:
(sin 40°cos 50° + cos²40°) × sin 30° + (cos 60°tan 45°) × sec 60°
...Find the maximum value of 14 sin A + 24 cos A.
Simplify (cos20°+sin 20°) /(cos20°-sin20°)
A man is standing at a point 40 meters away from a tower. The angle of elevation of the top of the tower from the point is 45°. After walking 20 meters...
If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is
If tan 4θ = cot 14θ, then find the value of cos 9θ.