Question

From the given figure find the value of
a) Sinθ
b) tanα

Answer 1

Answers:

1) 1/√5

2) 1/2

We know,

Sin A = opp. Side / Hypotenuse

Tan A = opp. Side / adj. Side

Answer 2

$\bf sin\: \theta=\frac{1}{\sqrt{5}}$

$\bf tan\:\alpha=2$

Given:

• Figure.

To find:

• Find the value of :

1. $sin \: \theta$
2. $tan \: \alpha$

Solution:

Concept to be used:

• $\bf tan\:\alpha=\frac{\text{\bf Side opposite to angle}}{\text{\bf Side adjacent to angle}}$
• $\bf sin\: \theta=\frac{\text{\bf Side opposite to angle}}{\text{\bf Hypotenuse}}$

Step 1:

Find the value of $sin \: \theta$.

The side opposite to angle $\theta$ is AB.

Hypotheses:AC

$sin\: \theta=\frac{AB}{AC}$

$\bf sin\: \theta=\frac{1}{\sqrt{5}}$

Thus,

The value of $\bf sin \: \theta$ is 1/√5.

Step 2:

Find the value of $tan \: \alpha$.

The side opposite to angle $\alpha$ is BC.

The side adjacent to angle $\alpha$ is AB.

$tan\:\alpha=\frac{BC}{AB}$

$tan\:\alpha=\frac{2}{1}$

$\bf tan\:\alpha=2$

Thus,

The value of $\bf tan\:\alpha$ is 2.

Learn more:

1)The angle of elevation of the top of a tree from a point at O distance of 200m from its base is 60 degrees. The height o...

brainly.in/question/20649311

2) If 300 √3 m high tower makes angle of elevation at a point on ground which is 300 m away from its foot, then

find the an...

brainly.in/question/15316610

#SPJ3