If - is an acute angle such that 2-3- then the value of tan 2 - -cosec2 -tan 2 -cosec 2 - isa 47b 37c 27d 17

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Value of Standard Angle(30,60,90)

If θ is an ac...

Question

If θ is an acute angle such that sec² θ = 3, then the value of $\frac{\tan^{2} θ - {cosec}^{2} θ}{\tan^{2} θ + {cosec}^{2} θ}$ is

(a) $\frac{4}{7}$
(b) $\frac{3}{7}$
(c) $\frac{2}{7}$
(d) $\frac{1}{7}$

Open in App

Solution

Given that:

We need to find the value of the expression

.So

Here we have to find:

Hence the correct option is

Suggest Corrections

Similar questions

Q. If θ is an acute angel such that

s e c^{2} θ = 3,

then find the value of

\frac{{tan}^{2} θ - c o s e c^{2} θ}{{tan}^{2} θ + c o s e c^{2} θ}

If $θ$ is an acute angle and $t a n θ = \frac{1}{\sqrt{7}}$ , then the value of $\frac{c o s e c^{2} θ - s e c^{2} θ}{c o s e c^{2} θ + s e c^{2} θ}$ is

Q. Let

θ

be an acute angle such that

{sec}^{2} θ + {tan}^{2} θ = 2

The value of

(c o s e c^{2} θ + {cot}^{2} θ)

Q. If θ is an acute angle such that

\tan^{2} θ = \frac{8}{7}

, then the value of

\frac{(1 + \sin θ) (1 - \sin θ)}{(1 + \cos θ) (1 - \cos θ)}

is

(a)

\frac{7}{8}

(b)

\frac{8}{7}

(c)

\frac{7}{4}

(d)

\frac{64}{49}

Q. If tan 2θ = cot (θ + 60°), where 2θ and (θ + 6°) an acute angles, find the value of θ.

Join BYJU'S Learning Program

If θ is an acute angle such that sec2 θ = 3, then the value of tan2 θ-cosec2 θtan2 θ+cosec2 θis (a) 47 (b) 37 (c) 27 (d) 17

Given that: We need to find the value of the expression .So Here we have to find: Hence the correct option is

If θ is an acute angle such that sec² θ = 3, then the value of $\frac{\tan^{2} θ - {cosec}^{2} θ}{\tan^{2} θ + {cosec}^{2} θ}$ is

(a) $\frac{4}{7}$
(b) $\frac{3}{7}$
(c) $\frac{2}{7}$
(d) $\frac{1}{7}$

Given that:

We need to find the value of the expression

.So

Here we have to find:

Hence the correct option is