Value of sin 45-cos 45 tan 45- 45- 2 is

The correct option is B 2 sin 45^∘cos 45 ( tan 45^∘+ 45^∘ )^2 #160; #160; =1√(2)× #160;1√(2) (1+1)^2 =42 =2 ...

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

Byju's Answer

Standard XI

Mathematics

Sign of Trigonometric Ratios in Different Quadrants

Value of si...

Question

Value of $sin 45^{\circ} cos 45 {(tan 45^{\circ} + cot 45^{\circ})}^{2}$ is

1

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

2

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

3

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

4

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

Open in App

Solution

The correct option is B $2$
$sin 45^{\circ} cos 45 {(tan 45^{\circ} + cot 45^{\circ})}^{2}$
$= \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} (1 + 1)^{2}$

$= \frac{4}{2}$

$= 2$

Suggest Corrections

Similar questions

Q. If cos

^{2} 45 - c o s^{2} 30 = x . c o s 45. s i n 45

then x is .......

Q. Find the value of:

2 t a n 45^{\circ} + {c o s 45}^{\circ} - {s i n 45}^{\circ}

Q. Show that

sin 60^{\circ} cos 45^{\circ} + cos 60^{\circ} sin 45^{\circ} = \frac{\sqrt{3 + 1}}{2 \sqrt{2}}

Show that the value of $\frac{s i n 45^{\circ} - s i n 30^{\circ}}{c o s 45^{\circ} + c o s 60^{\circ}}$ and $\frac{s e c 45^{\circ} - t a n 45^{\circ}}{c o s e c 45^{\circ} + c o t 45^{\circ}}$ are equal

Evaluate : 2/3(cos30^4-sin45^4)-3(sin²60-sec²45)+1/4cot²30

Join BYJU'S Learning Program

Value of sin45∘cos45(tan45∘+cot45∘)2 is

The correct option is B 2sin45∘cos45(tan45∘+cot45∘)2=1√2×1√2(1+1)2=42=2

Value of $sin 45^{\circ} cos 45 {(tan 45^{\circ} + cot 45^{\circ})}^{2}$ is

The correct option is B $2$
$sin 45^{\circ} cos 45 {(tan 45^{\circ} + cot 45^{\circ})}^{2}$
$= \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} (1 + 1)^{2}$

$= \frac{4}{2}$

$= 2$