Question
If sin3A = cos(A-26), then what is the value of A? Given
that 3A is an acute angle.Solution
Always remember that sin & cos are compliment to each other So sin ɵ = cos( 90-ɵ) So it is given that sin3A = cos(A-26) Hence 3A + A-26° = 90° So 4A-26° = 90° or 4A =90°+26° =116 or A =
= 29°
An amount of Rs. 2400 is invested at an annual compound interest rate of 20%, while another amount of Rs. 1600 is invested simultaneously at an annual s...
- What will be the total amount earned after 3 years on an investment of Rs. 45,000 at 10% per annum simple interest?
An amount is invested at a compound interest rate of 21% per annum, with compounding occurring once every 10 months. After 20 months, the interest earne...
A person invests ₹8000 in a scheme offering 5% simple interest per annum. After 2 years, the total amount becomes ₹8800. How much interest is earned...
- Mr. Sharma invested Rs. 9600 in Scheme 'A', which offers compound interest at a rate of 'r'% per annum, compounded annually for 2 years. After 2 years, he ...
Tina invested Rs. ‘x’ at 14% p.a. simple interest and Tanu invested Rs. (x + 700) at 11% p.a. If the total interest after 1 year is Rs. 615, find th...
Mandeep took a loan of Rs. 7,300 from his friend Sandeep on 16th March. The loan accrues simple interest at an annual rate of 20%. Calculate the total a...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 2500 and Rs...
Arjuna deposited Rs.90,000 in an SIP that offers simple interest at a rate of 10% per annum for 3 years. Had he deposited the sam...
A man invested Rs. 't' in scheme 'I' offering simple interest at 11% for 7 years and Rs. 2,700 in scheme 'J' offering simple interest at 13% for 6 years...