Q6 of 180 Page 1

If tan²45° - cos²30° = x sin 45°cos 45° then x =?
OR

If A and B are acute angles such that sin A = cos B, prove that A + B = 90°.

Substituting the values, we get

⇒

A and B are acute angles.

⇒

⇒ As

⇒ A = 90 – B

⇒ A + B = 90°

Hence proved.

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.

The line segment joining the midpoints of the adjacent sides of a quadrilateral form a ________ .

In the given figure, PT is a tangent to the circle with centre O. If OT = 6 cm and OP = 10 cm, then length of tangent PT is ______ .

A man goes 80 m due east and 150 m due north. How far is he from the starting point?

If tan245° - cos230° = x sin 45°cos 45° then x =?ORIf A and B are acute angles such that sin A = cos B, prove that A + B = 90°.