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If $ cosec \theta = \frac 53 $ , then evaluate ($ sec^2 \theta – 1) \times cot^2 \theta \times (1 + cot^2 \theta)$. Optionsa) $ \frac {9}{16}$b) $ \frac {25}{9}$c) $ \frac {25}{16}$d) $ \frac {4}{5}$ Solution As per questionFormula :- $ sec^2 \theta – 1 = tan^2 \theta $$ 1 + cot^2 \theta […]
If cosec theta = 5/3 , then evaluate (sec2 theta – 1) x cot2 theta x (1 + cot2 theta). Read More »
The value of cos229o + cos261o is: Optionsa) $ \frac {\sqrt 3}{2}$b) 2c) 0d) 1 Solution As per questioncos229 + cos261ocos229 + (cos 61o)2cos229 + (cos (90 – 29)o)2cos229 + (Sin 29)2 Formula :- $ Sin \theta $ = cos (90 – $ \theta)$cos229 + sin229 = 1Formula :- $ sin^2 \theta + cos^2 \theta
The value of cos2 29o + cos2 61o is: Read More »
What is the value of sec (t), if tan (t) = $ \frac{1}{3}$ ? Optionsa) $ \frac{ \sqrt3}{3}$b) $ \frac{2 \sqrt2}{3}$c) $ \frac{ \sqrt10}{3}$d) $ \frac{ \sqrt10}{9}$ Solution As per question tan Q = $ \frac {BC}{AC} = \frac 13 $(AB)2 = (AC)2 + (BC)2(AB)2 = (3)2 + (1)2(AB)2 = 9 + 1 = 10AB
What is the value of sec (t), if tan (t) = 1/3 ? Read More »
The value of sin2 30 – sin2 40 + sin2 45 – sin2 55 – sin2 35 + sin2 45 – sin2 50 + sin2 60 is: Optionsa) 4b) 0c) 1d) 2 Solution As per question sin2 30 – sin2 40 + sin2 45 – sin2 55 – sin2 35 + sin2 45 – sin2
The same operation(s) are followed in all the given number pairs except one. Find that odd number pair. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking
11 : 143, 13 : 169, 12 : 152, 15 : 195 Read More »
All the six members of a family, 1, 2, 3, 4, 5 and 6, live together. 2 is the daughter of 3, but 3 is not the mother of 2. 1 and 3 are a married couple. 5 is the sister of 3. 4 is the daughter of 1. 6 is the brother of 2.
Select the set in which the numbers are related in the same way as are the numbers of the following set.3 — 20 — 54 — 17 — 3 NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as
3 — 20 — 5, 4 — 17 — 3, 9 — 77 — 8 Read More »
51 is related to 256 by certain logic. Following the same logic, 53 is related to 266. To which of the following is 55 related, following the same logic? (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such
Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given
17 – 19 – 16 – 20; 22 – 24 – 21 – 25; 15 – 17 – 14 – 18 Read More »
G is the brother of F. E is the father of K. C is the daughter of A. F is the mother of E. C is the sister of E. How is G related to A? Options: a) Brother’s Wifeb) Sister’s husband c) Husband’s sistersd) Wife’s brother SSC CGL Papers Sept 2024 : General Intelligence