Question

plzz sopve this...this is very important..​

Answer 1

Given:

• tan∅+cot∅ = 5/3 csc∅.

To Show:

• cos∅ = ⅗ .

Answer:

We must know some points before proceeding,

• tan∅ = sin∅/cos∅
• cot∅ = cos∅/sin∅
• sin²∅+cos²∅=1

Now lets proceed ,

Given that : tan∅+cot∅= 5/3 csc∅.

⇒tan∅+cot∅=5/3 csc∅.

⇒sin∅/cos∅ + cos∅/sin∅ = 5/3 csc∅.

⇒sin²∅+cos²∅/cos∅.sin∅ = 5/3 csc∅.

⇒ 1/sin∅.cos∅ = 5/3 csc∅.

⇒csc∅/cos∅ = 5/3 csc∅.

⇒cos∅ = ⅗ csc∅×1/csc∅

⇒cos∅ = ⅗ = RHS

Hence proved

Answer 2

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