For the following questions answer them individually
If 4sin$$^{2}$$ 2θ - 3 = 0 and θ is acute, then what is the value of (cot$$\ ^{2}\ $$ θ + tan $$^{2}$$ θ)?
If $$\ \frac{cos\theta}{1+sin\theta}+\frac{cos\theta}{1-sin\theta}\ $$= 4 and $$\ \theta\ $$is acute, then what is the value of (in degrees) of $$\ \theta$$?
if$$\ \frac{1}{sin \theta+cosec \theta}=\frac{1}{2}\ $$, then what is the value of sin$$^{100}\ \theta\ +\ cosec^{100}\ \theta$$?
What is the value of $$\ \frac{tan^{2}25^\circ}{cosec^{2}65^\circ}+\frac{cot^{2}25^\circ}{sec^{2}65^\circ}\ $$+ 2tan$$\ 20^\circ\ tan\ 45^\circ\ tan\ 70^\circ\ $$?
If cosec θ + $$cosec^{2}$$ θ = 1, then what is the value of ($$cot^{12}\ θ - 3\ cot^{10}\ θ + 3 cot^{8}\ θ - cot^{6}\ θ)$$?
The pie chart given below shows the percentage distribution of annual expenditure on various items of a company. The annual expenditure of the company is Rs. 70 Crores.
If 5% of Miscellaneous is spent on research of nanotubes, then how much is spent (in Rs crores) on research of nanotubes annually?
By what percentage is the total expenditure on Interest and Miscellaneous more that the total expenditure on Tax and Salary?
Total amount spent on Raw material is 50% of the total amount spent on Interest. If the ratio of amount of expenditure on Rent and Raw material is 1 : 2 respectively, then what will be the amount (in Rs) spent on Rent annually?