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given that tan y=√2, where x and y are acute angles. find cos y?


Using complex numbers, prove that the, angles A, B and C of a planar triangle satisfy the relations

(i) cos^2 A + cos^2 B + cos^2 C = 1 − 2 cos A cos B cos C

(ii) sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C.


Express cos^7θ in terms of multiples of angles.
1.How to draw/interpret the Napier’s circle?
2.What is the meaning of Napier’s Formula?
3. How to formulate Napier’s Formula?
4.How do you derive formula from the formulated Napier’s Formula?
Restate and explain each property of the right spherical triangle.
A sailboat under auxiliary power is proceeding on a bearing 25° north of west at 6,25km/h in still water.Then a tail wind blowing 15km/h in the direction 35° south of west, alters the course of the sailboat.What is the resultant speed and direction of the saiboat (correct to 2 decimal places)?
A sailboat under auxiliary power is proceeding on a bearing 25° north of west at 6,25km/h in still water.Then a tail wind blowing 15km/h in the direction 35° south of west, alters the course of the sailboat.What is the resultant speed and direction of the saiboat (correct to 2 decimal places)?
How do you draw/interpret the Napier’s circle?
What do you mean by Napier’s Formula?
How do you formulate Napier’s Formula?
How do you derive formula from the formulated Napier’s Formula
From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre.
show that cosx(270degree +theta)/cos(360degree - theta)= tantheta
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