Math, asked by Shanu7070070000, 10 months ago

If tan@ = cos@ ,then find the value of cosec@ + sec@

Answers

Answered by Arcee1012

I don't think so there is a value of @ where tan @= cos@. So better check the qts once.

Shanu7070070000: Hey we don't have to find the value of @ , I solve it but it's coming 2 sec/ cosec@

Shanu7070070000: But the answer should be a number

Shanu7070070000: Hey sorry the question is wrong it is cot@ not cos@

Arcee1012: Ya thats what i said!

Arcee1012: Then @ =45 & cosec 45 + sec 45 = 2root2

Shanu7070070000: Thanks

Arcee1012: Your welcome

Answered by nitkumkumar

Answer:

The value of cosec@ + sec@ = 2√2

Step-by-step explanation:

The step by step explanation of the the correct question is as follows -

This can be solved by applying the correct values of trigonometric angles and identities .

Here, tan@ = cot@

The only angle where tan@ = cot@ is 45 degrees .

As, tan45 = 1

and cot45 = 1/tan45 = 1

We have to find value of cosec@ + sec@ .

Here, @ = 45 degree

As, cosec@ = 1/sin@ = 1/sin45 = √2

sec@ = 1/cos@ = 1/cos45 = √2

Thus, the value of cosec@ + sec@ = √2 + √2

= 2√2

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