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Syllabus

prove the following identities :sin theta/1 - cos theta = cosec theta + cot theta

If x = sin

^{2}θ cos θ and y = cos^{2}θ sin θ, then : (x^{2}y)^{2/3}+ (xy^{2})^{2/3}= 1 x^{2}+ y^{2}= x^{2}y^{2}None of these^{2}O - 2cos^{2}O = 0. when theta = 60^{0 }and sinO = cosO (O= theta)Q. A man is standing on the deck of a ship, which 8 m above water level.He observes the angle of elevation of top of hill as 60$\xb0$ and the angle depression of the base of the hill as 30$\xb0$. Calculate the distance of the hill from the ship and the height of the hill.

Solve this:In the adjoining figure $\angle ABC$ =

(A) 45

^{o}^{ }(B) 30^{o}(C) 60

^{o}(D) 50^{o}Q. ${\mathrm{tan}}^{-1}\frac{\sqrt{x}+\sqrt{a}}{1-\sqrt{ax}}$

the tower spots a van at an angle of depression of 30 degree. The van is approaching

the tower with a uniform speed. After 6 minutes, the angle of depression of the van

is found to be 60 degree. How many more minutes will it take for the van to reach the

tower?

Q.7. ${\mathrm{tan}}^{-1}\frac{\sqrt{x}+\sqrt{a}}{1-\sqrt{ax}}$

$1.\frac{tan69\xb0+\mathrm{tan}66\xb0}{1-\mathrm{tan}69\xb0.\mathrm{tan}66\xb0}==$