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Given – sin + cseccθ = 2, let x = sin θ, then cosec θ =1/x ATQ- x+1/x =2 x²+1 = 2x x²-2x+1 0 (x-1)2 = 0 x-1 =0 x =1. Thus, sin θ = 1, which means θ = 90°. Now, Sin 2 θ = 15=1 Similarly, Cosec2 θ = 1 Therefore, Sin 2 θ + Cosec2 θ =1+1=2 So, the value is 2.
A basket contains 3 pink, 4 blue and 5 yellow wools. If three wools are picked at random, what is the probability that either all are blue or either all...
In a container, there are (x + 4) red balls, ‘x’ blue balls, and (x + 5) black balls. If the probability of picking two blue balls at random is (1/3...
Atul and Bhuvan play a game where each is asked to select a number from 1 to 9. If the two numbers same, both win a prize. The probability that they wil...
What is the probability that the cards drawn contains 1 red card, 1 purple card and 1 yellow card?
A vessel contains 5 red, ‘x’ green and 3 blue ribbons. If two ribbons are drawn from the vessel randomly, then the probability of getting a red and ...
If A and B are any two events such that P (A) + P (B) − P (A ∩ B) = P (A), then
A bag contains 12 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, fin...
30 pens are there in a box where 9 are red pens, ‘p’ are blue pens and remaining are black pens. If a pen is picked, the probability of getting blue...
22 rotten bananas are accidentally mixed with 136 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
R goes to the gym either by cycle, car, or walking. On a specific day, the probability of him going by car is 0.3 less than the probability of walking a...
