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Calculating Heights and Distances

If sin theta ...

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If sin theta + cos theta is equal to root 3 then prove that tan theta + cot theta is equal to 1

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sin θ + cos θ = \sqrt{3}

, then prove that

tan θ + cot θ = 1

Q. Prove that :

(1 + cot θ + tan θ) (sin θ - cos θ) = sin θ tan θ - cot θ cos θ

\frac{\sin θ}{1 - \cot θ} + \frac{\cos θ}{1 - \tan θ}

is equal to

(a) 0
(b) 1
(c) sin θ + cos θ
(d) sin θ − cos θ

0 < θ < \frac{π}{2}

sin θ + cos θ + tan θ + cot θ + sec θ + c s c θ

7

sin 2 θ

is a root of the equation

sin θ

cos θ

tan θ

are in G.P., then prove that

{cot}^{6} θ - {cot}^{2} θ = 1

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Calculating Heights and Distances

Standard IX Mathematics

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