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## Prove that : (sec 8θ – 1)/ ( sec 4θ – 1 ) = tan 8θ/ tan 2θ

## The diagram shows a square with side length 5 cm. The length of the diagonal is y cm. Find the exact value of y.

## Find the value of : ( 3 tan 41°/cot 49°)^2 – [(sin 35° sec 55°)/(tan 10° tan 20° tan 60° tan 70° tan 80°)]^2

## Prove that : sin θ/ ( cot θ + cosec θ) = 2 + sin θ/ ( cot θ – cosec θ)

## Prove that: tan θ/(1 – cot θ) + cot θ/(1 – tan θ) = 1 + sec θ. cosec θ

## Evaluate: (3sin 43°/cos 47°)^2 – (cos37°csc53°)/(tan5°tan25°tan45°tan65°tan85°)

## Prove that : (sin A – 2sin^3 A)/(2cos^3 A – cosA) = tan A

## If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.

## If 4 tan θ = 3, evaluate (\frac{4sin\theta\ -\ cos\theta\ +\ 1}{4sin\theta\ +\ cos\theta\ -\ 1})

## A person deposits an equal amount of ₹8000 in two different banks on different interests rates. After three years, the difference between the interest received from these two banks is ₹576. What is the difference between their interest rates?