Question
Statements: All cups are books. All books are
shirts. Conclusions: (I) Some cups are not shirts. (II) Some shirts are cups. Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).Solution

What is the value of [tan2 (90 – θ) – sin2 (90 – θ)] cosec2 (90 – θ) cot2 (90 – θ)?
...sin2 9 ° + sin2 10 ° + sin2 11 ° + sin2 12 ° + ……… + sin2 81 ° = ?
...If (cos A - sin A) = √2 cos (90° - A), then find the value of cot A.
What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?
tan 20Ëš x tan 23Ëš x tan 67Ëš x tan 70Ëš = ?
If {(tanx)/(secx)} × cosx = (1/2), then determine the value of ‘sin2x’.
∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.
- If sin (3A − 2B) = (√3/2) and cos (A + B) = (1/2), where 0° < A, B < 90°, then find the value of ‘A’.
- If 2 sin x = √3, then the value of x:
- If sin A = 1/2, then what will be the value of cot² A?