Question

sec²+26° - cot²64° ​

Answer 1

Question:

Find the value of sec²26 - cot²64

Solution:

Given:sec²26 - cot²64.............[1]

Using the identity cot(90-∅)=tan∅

Now,

cot²64

=cot²(90-26)

=tan²26

Putting in [1],

sec²26 - tan²26

Of the form sec²∅-tan²∅=1,

=1

Henceforth,the value of sec²26-cot²64=1

Answer 2

Answer:

1

Step-by-step explanation:

sec²-cot²64

sec²-cot²64sec²26-cot²(90-64)

sec²-cot²64sec²26-cot²(90-64)sec²26-tan²26

sec²-cot²64sec²26-cot²(90-64)sec²26-tan²26Now by identity,

sec²-cot²64sec²26-cot²(90-64)sec²26-tan²26Now by identity, sec²A-tab²A=1

sec²-cot²64sec²26-cot²(90-64)sec²26-tan²26Now by identity, sec²A-tab²A=1sec²26-tan²26=1