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If x tan 60° + cos 45° = sec 45° then the value of x² + 1 is

Find the value of (1 - sin²q) X (secq + tanq) X (secq - tanq) X cosec²q

If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is

Find the value of the given trigonometric expression:

(sin 25°cos 65° + cos²25°) × sin 30° + (cos 60°tan 45°) × sec 60°

Simplify the following trigonometric expression: 

8 cos 40° cosec 50° − 2 cot 30° cot 60° 

sin² 9 ° + sin² 10 ° + sin² 11 ° + sin² 12 ° + ……… + sin² 81 ° = ?