Question
In the question below there are three statements
followed by two conclusions I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts. Statements: Only a few Petrol are Diesel. Some Diesel are not CNG. Some CNG are Pump. Conclusions: I. All Diesel are Petrol. II. Some CNG being Petrol is a possibility.Solution
Only a few Petrol are Diesel → All Diesel may be Petrol. Hence conclusion I does not follow. Conclusion II follows as we diesel get the possibility case.
- If cos θ = (4x² – 1)/(1 + 4x²) then find the value of sin q.

sin2 17˚ + sin2 19˚ + sin2 21˚ + sin2 23˚ + ……… + sin2 77˚ = ?
- If X = 15°, find the value of:
sin²(3X) + cos²(4X) - tan²(2X) If 7sin²θ + 3cos²θ = 4, then find the value of θ?
- In a triangle ABC, if 5∠A = 3∠B = 15∠C, then find the value of cosA + sin(C + 25 ° )
Find the exact value of cos120°
Find the value of the given trigonometric expression:
(sin 15°cos 75° + cos²15°) × sin 30° + (cos 60°tan 45°) × sec 60°
...[(sinx – 2sin 3 x)/(2cos 3 x – cosx)] 2  + 1, x ≠45 o , is equal to: