Question
Find the value of the given trigonometric
expression: (sin 25°cos 65° + cos²25°) × sin 30° + (cos 60°tan 45°) × sec 60°Solution
(sin 25°cos 65° + cos²25°) × sin 30° + (cos 60°tan 45°) × sec 60° = {sin 25°cos (90° – 25°) + cos²25°} × sin 30° + cos 60°tan 45°sec 60° Using, cos (90° – A) = sin A = (sin²25° + cos²25°) sin 30° + cos 60°tan45°sec 60° Using, sin²A + cos²A = 1 = {1 × (1/2)} + {(1/2) × 1 × 2} = (1/2) + 1 = (3/2) Hence, option D.
LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?
A launches a partnership with Rs. (P + 700). B joins after 5 months with Rs. 2P. If the ratio of B’s profit share to A’s is 7:8, find (P − 100).
How many pairs of natural numbers (x, y) exist such that x>y and the product of x, y and HCF (x, y) = 2520? solve thisÂ
Find out the sum of digits of largest number that leaves same remainder when it divides 12006, 6006, 5506 and 10006.Â
The least number which when divided by 3, 9, 12 and 16 leave zero remainder in each case and when divided by 17 leaves a remainder of 8 is:
Three numbers a, b and c are co-prime to each other such that ab = 34 and bc = 51. Find the value of (a + b + c).
Three boys runs around a circular track and takes 15 min, 20 min and 35 min respectively to complete the one round. When do they all come relatively to ...
The sum of two numbers is 65 and their HCF is 13. Total number of such pairs of numbers is?  Â
Find the HCF of two numbers if LCM and product of those two numbers are 30 and 960 respectively.
LCM of two numbers is 5 times their HCF. The product of the numbers is 4500. What will be the maximum possible difference between the numbers?
