Question
In the question below some statements are given
followed by two conclusions I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusion definitely follows from the given statements, disregarding commonly known facts. Statements: Some Capital is Investment Some Dividend is Debenture No Investment is Dividend Conclusions: I. Some Capital is not Dividend II. No Debenture is CapitalSolution
Some Capital is Investment (I) + No Investment is Dividend (E) → Some Capital is not Dividend (O). Hence conclusion I follows. No Investment is Dividend (E) + Some Dividend is Debenture (I) → Some Debenture is not Investment (O*). Hence conclusion I does not follow.
- 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: