1.

tanA+secA =1/4find value of tanA

Answer»

We know, tan²A - sec²A = - 1

Given :tan A + sec A = 1/4 .....(1)

Let tan A - sec A = x ....(2)

So, eq(1) × eq (2)

tan²A - sec²A = x/4

-1 = x/4

x = - 4

So, tan A - sec A = - 4 ...(3)

Now, adding (1) and (3)

2 tan A = 1/4 - 4

2 tan A = -15/4

tan A = -15/8

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