Question
Simplify the following trigonometric expression: 11
sin 42° sec 48° − 7 tan 37° tan 53°Solution
= 11 sin 42° sec(90° - 42°) - 7 tan 37° tan(90° - 37°)
= 11 sin 42° csc 42° - 7 tan 37° cot 37°
= 11 - 7 = 4
In an exam, Rina scored 54% marks and failed by 80 marks whereas Tina scored 74% marks in the same exam and scored 60 marks more than the passing marks....
- The price of electricity rose by 40%. Ravi, in response, reduced his usage by 25%. Determine the change in his electricity bill.
A plane can travel 36 km against the wind and 80 km with the wind in 4 hours. How much percent is the speed of the plane against the wind less than the ...
A gets 30% of the full marks in an exam and fails by 80 marks. B gets 35% of the full marks in the same exam and he also fails by 64 marks. What is the ...
In a given years, A sold 2000 caps while B sold 55% more number of caps than A and C sold 20% less number of caps than B. Find the ratio between the num...
If a number is added to 52 instead of being added to 25. Approximately what percent of the correct value of the result?
In a village, number of male, female and children are in the ratio of 3:5:7. If 90% of the males are literate, 80% of females are literate and 40% of ch...
20% of ‘x’ and 40% of ‘y’ together make 138. If ‘y’ is 36 more than ‘x’, then find the value of (2x – y).
...The respective ratio of monthly income of A to monthly income of B is 11:12, and A’s saving is (100/17)% more than B’s saving. Find the expenditure ...
Neeraj's earnings decreased by 50% and after that subsequently increased by 50%. Find the final loss % on his earnings.