If b cos-a- then prove thatcosec- b - a - b - a -4 MARKS -

Concept: 2 Marks Application: 2 Marks cosec θ+cot θ =b/√(b^2 a^2)+a/√(b^2 a^2) =b+a/√(b^2 a^2) =(b+a)/√((b+a)(b a)) =√(b+a)/√(b a) =√(b+a/b a) ...

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Trigonometric Ratios of Standard Angles

If b cosθ=a, ...

Question

If $b c o s θ = a$ , then prove that

$c o s e c θ + c o t θ = \sqrt{\frac{b + a}{b - a}}$ [4 MARKS]

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θ = \frac{a}{b},

\frac{a s i n θ - b c o s θ}{a s i n θ + b c o s θ} = \frac{a^{2} - b^{2}}{a^{2} + b^{2}}

Prove that
$\frac{s i n θ}{1 - c o t θ} + \frac{c o s θ}{1 - t a n θ} = c o s θ + s i n θ$ [4 MARKS]

tan θ = \frac{a}{b}

\frac{a sin θ - b cos θ}{a sin θ + b cos θ} =

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\frac{a - b tan θ}{b + a tan θ} = \pm \frac{\sqrt{a^{2} + b^{2} - c^{2}}}{c}

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