If x = a cos θ + b sin θ and y = a sin θ - b cos θ, prove that x² + y² = a² + b².

In the adjoining figure, ABC is a right angled triangle right angled at B; AB = 24 cm and BC = 7 cm. Using the figure answer the question.

The value of sin A is

1. $\dfrac{7}{24}$

2. $\dfrac{7}{25}$

3. $\dfrac{25}{7}$

4. $\dfrac{24}{25}$

In the adjoining figure, ABC is a right angled triangle right angled at B; AB = 24 cm and BC = 7 cm. Using the figure answer the question.

The value of tan C is

1. $\dfrac{24}{7}$

2. $\dfrac{7}{24}$

3. $\dfrac{7}{25}$

4. $\dfrac{24}{25}$

In the adjoining figure, ABC is a right angled triangle right angled at B; AB = 24 cm and BC = 7 cm. Using the figure answer the question.

The value of cosec C is

1. $\dfrac{7}{24}$

2. $\dfrac{24}{25}$

3. $\dfrac{25}{7}$

4. $\dfrac{25}{24}$