The set of three numbers are called as Pythagorean triplets as they form the sides of a right-angled triangle. For example $3,4,5$. Multiply each number of the above Pythagorean triplet by a non-zero constant. Verify whether each of the resultant set so obtained is also a Pythagorean triplet or not.

The set of three numbers are called as Pythagorean triplets as they form the sides of a right-angled triangle. For example $5,12,13$. Multiply each number in the above Pythagorean triplet by a non-zero constant. Verify whether each of the resultant set so obtained is also a Pythagorean triplet or not.

The set of three numbers are called as Pythagorean triplets as they form the sides of a right-angled triangle. For example $7,24,25$. Multiply each number in the above Pythagorean triplet by a non-zero constant. Verify whether each of the resultant set so obtained is also a Pythagorean triplet or not.

Verify the equality: ${\sin }^2 60°+{\cos }^2 60°=1$

Verify the equalities: $1+{\tan }^2 30°={\sec }^2 30°$

Verify the equality: $\cos 90°=1-2 {\sin }^2 45°=2 {\cos }^2 45°-1$

Verify the equality: $\sin 30° \cos 60°+\cos 30° \sin 60°=\sin 90°$

Find the value of $\frac{\tan 45°}{cosec30°}+\frac{\sec 60°}{\cot 45°}-\frac{5\sin 90°}{2\cos 0°}$.

Find the value of $\left(\sin 90°+\cos 60°+\cos 45°\right)\times \left(\sin 30°+\cos 0°-\cos 45°\right)$.