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Calculating Heights and Distances

If xsin(90^° ...

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If xsin(90^° - theta) cot(90^°-theta) = cos(90^°-theta), then x is equal to 1. 0 2. 1 3. -1 3. 2

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s i n θ_{1} + s i n θ_{2} + s i n θ_{3} = 3

c o s θ_{1} + c o s θ_{2} + c o s θ_{3}

Q. If 5θ and 4θ are acute angles satisfying sin 5θ = cos 4θ, then 2 sin 3θ −

\sqrt{3} \tan 3 θ

is equal to

(a) 1
(b) 0
(c) −1
(d)

1 + \sqrt{3}

2 cos θ = x + \frac{1}{x},

2

cos 3 θ

If x = 3 sec²θ - 1, y = tan²θ - 2 then x - 3y is equal to

x = sin θ, y = cos 3 θ

(1 - x^{2}) y_{2} - x y_{1}

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Calculating Heights and Distances

Standard IX Mathematics

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