Find the value of the following:

cos 45° cos 60° – sin 45° sin 60°

Find the value of x in the following:

√3 tan 2x = sin 30° + sin 45° cos 45° + 2 sin 90°

Find the value of the following:

Prove that-

Prove that-

Prove that-

Prove that-

2(cos²45° + tan²60°) – 6(sin²45° – tan²30°) = 6

The value of 2 sin²60° cos60° will be:

Find the value of the following:

4cot²45° – sec²60° + sin²60° + cos²90°

Prove that 3(tan²30° + cot²30°) – 8(sin²45° + cos²30°) = 0

Prove that:

cos60° = 2 cos²30° – 1