Question

Trigonometry (Class 10)
1) Prove that 1/sec A – tan A-1/cosA=1/ cos A -1/sec A + tan A
2)Given tan A = 5/12 , find the other trigonometric ratios of the angle A.
3) Evaluate:
5$cos^{2}$30 + 4$sec^{2}$30 – $tan^{2}$45.
If 5x = Sec θ and 5/x= Tanθ
find the value of
5(x2+1/x2)
4) Evaluate:
2 tan^2600 + cos^2300 + sin^260
6) If Sinx = 1/3 , then find the value of ( 2 Cot2x+2)
7) Write the values of sec 0°, sec 30°, sec 45°, sec 60° and sec 90°. What happens to sec x when x increases from 0° to 90° ?
8) If sin 5A = cos 4A, where 5A and 4A are acute angles, find the value of A.
9) If Cos θ- Sin θ = √2 Sin , prove that Cos θ+ Sin θ = √2 Cos θ


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