Question
A basket contains x green apples, (x + 2) red apples and (x
+ 10) yellow apples. If probability of getting a red apple is 1/8 more than that of getting a green apple, then find the probability of getting a yellow apple.Solution
ATQ,
(x + 2 – x)/(3x + 12) = 1/8
Or, 3x + 12 = 16
Or, x = 4/3
So, desired ratio = (4/3 + 10)/(16) = 34/48 = 17/24
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.
