Question

If 3 cot A = 4 Find the value of 5sinA - 3 Cos A ÷ 5sin A + 3 Cos A
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Answer 1

Answer:

ANSWER

3sinA+5cosA=5

⇒(3sinA+5cosA)

2

=25

⇒9sin

2

A+25cos

2

A+30sinAcosA=25 ……(1)

Let (3cosA−5sinA)

2

=k

⇒9cos

2

A+25sin

2

A−30sinAcosA=k …….(2)

(1)+(2)

⇒9(sin

2

A+cos

2

A)+25(cos

2

A+sin

2

A)=25+k

⇒9+25=25+k

⇒k=9.

Answer 2

Answer:

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