Question

please answer the question with Solution ​

Answer 1

Step-by-step explanation:

à)1

1 is the correct answer ..

Answer 2

Question :

Choose the correct alternatives for :-

tanθcotθ = ____

a) 1

b) 0

c) 1/2

d) √3/2

Answer :

option a) 1

Step-by-step explanation :

• cotθ = 1/tanθ

So,

tanθcotθ

= tanθ × 1/tanθ

= 1

_____________________

Know more :

Trigonometric values :

$\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} \sin & 0 & \dfrac{1}{2 } & \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} & 1 \\ \cline{1-6} \cos & 1 & \dfrac{ \sqrt{ 3 }}{2} } & \dfrac{1}{ \sqrt{2} } & \dfrac{ 1 }{ 2 } & 0 \\ \cline{1-6} \tan & 0 & \dfrac{1}{ \sqrt{3} } & 1 & \sqrt{3} & \infty \\ \cline{1-6} \cot & \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } &0 \\ \cline{1 - 6} \sec & 1 & \dfrac{2}{ \sqrt{3}} & \sqrt{2} & 2 & \infty \\ \cline{1-6} \csc & \infty & 2 & \sqrt{2 } & \dfrac{ 2 }{ \sqrt{ 3 } } & 1 \\ \cline{1 - 6}\end{tabular}}$

___________________________

Identities :

sin²θ + cos²θ = 1

cosec²θ - cot²θ = 1

sec²θ - tan²θ = 1

___________________________

Trigonometric functions and their relation with the sides of right angled triangle :

sinθ = opposite side/hypotenuse

cosθ = adjacent side/hypotenuse

tanθ = opposite side/adjacent side

cosecθ = 1/sinθ = hypotenuse/opposite side

secθ = 1/cosθ = hypotenuse/adjacent side

cotθ = 1/tanθ = adjacent side/opposite side

___________________________