If 17 cos-15-then- tan-2 -

The correct option is D 24/5 Given , 17cos θ = 15 cos θ =15/17=adjacent side/hypotenuse Using pythagoras theorem, (adjacent side)^2 + (opposite side)^2 = ( ...

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

Byju's Answer

Standard IX

Mathematics

Relationship between Trigonometric Ratios

If 17 cosθ=15...

Question

$If 17 c o s θ = 15$ ,
$then, t a n θ + 2 s e c θ =$ _____.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$2 \frac{1}{5}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$2 \frac{4}{5}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$2 \frac{4}{5}$

Given ,
$17 c o s θ = 15$
$c o s θ = \frac{15}{17} = \frac{a d j a c e n t s i d e}{h y p o t e n u s e}$

Using pythagoras theorem,
$(a d j a c e n t s i d e)^{2} + (o p p o s i t e s i d e)^{2} = (h y p o t e n u s e)^{2}$
$(15)^{2} + (o p p o s i t e s i d e)^{2} = (17)^{2}$
Opposite side = 8

$∴ t a n θ = \frac{8}{15}, s e c θ = \frac{17}{15}$

$∴ t a n θ + 2 s e c θ$
$= \frac{8}{15} + \frac{2 (17)}{15}$
$= \frac{8 + 34}{15}$
$= \frac{42}{15}$
$= 2 \frac{4}{5}$

Suggest Corrections

Similar questions

Given : $17 cos θ = 15$ ;

If the value of $tan θ + 2 sec θ$ is $2 \frac{4}{m}$ , then $m$ is

Q. Given:

17 cos Θ = 15

, find the value of:

tan Θ + 2 sec Θ

.
is

2 \frac{4}{m}

, m is

If \tan θ = \frac{1}{\sqrt{5}}, then write the value of \frac{({cosec}^{2} θ - \sec^{2} θ)}{({cosec}^{2} θ + \sec^{2} θ)} .

Q. lf

y = \frac{{sec}^{2} θ - tan θ}{{sec}^{2} θ + tan θ}

, then

Q. If

tan θ + tan 2 θ + tan θ tan 2 θ = 1

then general value of

θ

is-

Join BYJU'S Learning Program

If 17cos θ=15, then, tan θ+2 sec θ=_____.

The correct option is D 245 Given , 17cos θ=15 cos θ =1517=adjacent sidehypotenuse Using pythagoras theorem, (adjacent side)2+(opposite side)2=(hypotenuse)2 (15)2+(opposite side)2=(17)2 Opposite side = 8 ∴tan θ=815,sec θ=1715 ∴ tan θ+2secθ =815+2(17)15 =8+3415 =4215 =245

$If 17 c o s θ = 15$ ,
$then, t a n θ + 2 s e c θ =$ _____.