Question

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

Answer 1

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

Answer 2

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