Question

if If y= tan x then at x = 0, y2


is equal to:

(A) −1 (B) 1 (C) 0 (D) 1/2​

Answer 1

Answer:

y=tanx

∴

dx

dy

=y

1

=sec

2

x

dx

d

(y

1

)=y

2

=2secx

dx

d

(secx)

y

2

=2sec

2

xtanx

y

2

=2yy

1

Answer 2

Concept:

Trigonometry angles are the angles that are driven by the ratios of the trigonometric functions.

Given:

We have,

y = tan x

And,  x = 0

Find:

We are asked to find the value of y².

Solution:

So,

We have,

y = tan x

Now,

At  x = 0,

i.e.

Substituting x for 0,

We get,

y = tan 0

From Trigonometry angles,

We get,

tan 0 = 0

So,

Now, Substituting tan 0 = 0,

i.e.

y = tan 0

We get,

y = 0

So,

The valye of y²,

i.e.

y² = (tan 0)²

y² = 0²

So,

y² = 0

Hence, the value of y² is 0.

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