If x- 2 sin-A- -2B- 1-2C- 2D- 0

The correct option is B 1/√(2)Given, x = 2sin θ/1+sin 2θ+cos 2θ and θ = 45° ⇒ x = 2 sin 45°/1 + sin 90°+cos 90° ⇒ x = 2 ×1/√(2)/1 +1 +0 = √(2)/2= 1/√(2) ...

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

Byju's Answer

Standard X

Mathematics

Trigonometric Ratios of Standard Angles

If x= 2 sinθA...

Question

If $x = \frac{2 s i n θ}{1 + s i n 2 θ + c o s 2 θ}$ and $θ = 45 °,$ then find the value of $x$ .

\sqrt{2}

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

\frac{1}{\sqrt{2}}

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

2

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

0

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

Open in App

Solution

The correct option is B $\frac{1}{\sqrt{2}}$
$Given, x = \frac{2 s i n θ}{1 + s i n 2 θ + c o s 2 θ} and θ = 45 °$

$\Rightarrow x = \frac{2 s i n 45 °}{1 + s i n 90 ° + c o s 90 °} \Rightarrow x = \frac{2 \times \frac{1}{\sqrt{2}}}{1 + 1 + 0} = \frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}}$

Suggest Corrections

Similar questions

Q. If

7^{x} = 3^{{log}_{9} 7} \cdot 5^{{log}_{25} 49}

, then the value of

x

I f f (x) = (l o g_{c o t x} t a n x) (l o g_{t a n x} c o t x)^{- 1} + t a n^{- 1} (\frac{x}{\sqrt{(4 - x^{2})}})

then f'(0) is equal to

Q. If

3^{{log}_{3} ({log}_{2} x)^{2}} = {log}_{2} x - ({log}_{2} x)^{2} + 1

, then

x

is/are

Q. If

4^{x} + 2^{2 x - 1} = 3^{x + \frac{1}{2}} + 3^{x - \frac{1}{2}}

, then

x =

Q. Area bounded by

y = | 1 - e^{| x |} |

and

y = 0

for

x \in [- 1, 1]

Join BYJU'S Learning Program

If x=2sin θ1+sin 2θ+cos 2θ and θ=45°, then find the value of x.

The correct option is B 1√2Given, x=2sin θ1+sin 2θ+cos 2θ and θ=45° ⇒x=2sin 45°1+sin 90°+cos 90°⇒x=2×1√21+1+0=√22=1√2

If $x = \frac{2 s i n θ}{1 + s i n 2 θ + c o s 2 θ}$ and $θ = 45 °,$ then find the value of $x$ .

The correct option is B $\frac{1}{\sqrt{2}}$
$Given, x = \frac{2 s i n θ}{1 + s i n 2 θ + c o s 2 θ} and θ = 45 °$

$\Rightarrow x = \frac{2 s i n 45 °}{1 + s i n 90 ° + c o s 90 °} \Rightarrow x = \frac{2 \times \frac{1}{\sqrt{2}}}{1 + 1 + 0} = \frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}}$