Question
Statement: O ≤ P >K ≤ L; W ≤ X = K > R; Q >
L Conclusion: I) W < L II) L = W In the following questions assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.Solution
Given statement: O ≤ P > K ≤ L; W ≤ X = K > R; Q > L On combining: W ≤ X = K ≤ L < Q Conclusion: I) W < L → false (as W ≤ X = K ≤ L → W ≤ L) II) L = W → false (as W ≤ X = K ≤ L → W ≤ L) Here, conclusions I and II form a complementary pair, thus, either I or II is true.
If cos(90° − θ) = 3/5 for an acute angle θ, find:
Simplify:
15cos 41° cosec 49° - 6tan 55° tan 35°What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?
- If cos2B = sin(1.5B - 36 o ) , then find the measure of 'B'.
If 6sin²x + 2cos²x − 3 = 0, then find the value of sinx, given that 0° < x < 90°.
- Find the simplified value of the expression:sin 2 45 o  + sin 2 60 o  - (1/3) X tan 2 60 o
If x+  1/x = 2cosθ, then the value of x³+  1/x³ is
- If 4cos²A + 5sin²A = 4.5, then find the value of (sec²A - 1)

The Value of (sin38Ëš)/(cos52Ëš) + (cos12Ëš)/(sin78Ëš) - 4cos²60Ëš is