Question
‘A’ and ‘B’ play a game involving tossing a coin 4
times. ‘A’ wins if exactly two heads appear. Otherwise, ‘B’ wins. Find the probability that ‘A’ wins the game.Solution
Total number of outcomes = 2 4 = 16
Number of favourable outcomes (exactly 2 heads) = C(4,2) = 6
Probability that ‘A’ wins = 6/16 = 3/8
If cos θ + sec θ = √5, then the value of cos³ θ+ sec³ θ is:
If 17sin A = 8, where 0
If A and B are complementary angles, then the value of-
sin A cos B + cos A sin B – tan A tan B + sec 2
If (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.
What is the simplified value of the given expression?
2(sin² 15° + sin² 75°) + 4sin 30° - (2sec 60° + cot 45°)
If sec2 θ = 4, then find the value of sin2 θ + cosec (90 - θ) where 0o < θ < 90o.
...- Find the simplified value of the expression:sin 2 45 o + sin 2 60 o - (1/3) X tan 2 60 o
If sin(x-y) = 1 and cos(x+y) = 1 /√2 then what is measure of angle x.
