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23. Trigonometric Ratios and Trigonometric Identities
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Q1 of 80 Page 302

In the window of our house, there is a ladder at an angle of 60o with the ground. If the ladder is 2√3m. long, then let us write by calculating with figure, the height of our window above the ground.

Given, length of ladder is 2√3 m


Angle is 60°


geogebra-export.png


⇒ ∠C = 60° and AC = 2√3


Need to find out AB


⇒ we know, sin60 =


⇒


⇒


⇒ P =


= 3


∴ the height of the window = 3m


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8

If then let us write by calculating, the value of cos C × cosec C.

9

Let us write with reason whether the following statements are true or false :

i. The value of tan A is always greater than 1.


ii. The value of cot A is always less than 1.


iii. For an angle θ, it may be possible that


iv. For an angle α, it may be possible that,


v. For an angle β (Beta) it may be possible that,


vi. For an angle θ, it may be possible that,

2

ABC is a right angled triangle with its ∠B is 1 right angle. If AB = 8√3 cm. and
BC = 8 cm., then let us write by calculating, the values of
∠ACB and ∠BAC.

3

In a right angled triangle ABC, ∠B=90°, ∠A=30° and AC = 20 cm. Let us determine the lengths of two sides BC and AB.

Questions · 80
23. Trigonometric Ratios and Trigonometric Identities
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