Question 1 :
(cos θ + sin θ)² + (cos θ – sin θ)² is equal to<br/>

Question 2 :
{tex}\frac { { tan }^{ 2 }\theta }{ 1+{ tan }^{ 2 }\theta } {/tex} is equal to<br/>

Question 3 :
A ladder 14 m long rests against a wall. If the foot of the ladder is 7 m from the wall, then the angle of elevation is<br/>

Question 4 :
{tex}{ cot }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta } {/tex} is equal to<br/>

Question 5 :
If the length of the shadow of a tower is √3 times that of its height, then the angle of elevation of the sun is<br/>

Question 6 :
If a kite is flying at a height of 40 √3 metres from the level-ground, attached to a string inclined at 60° to the horizontal, then the length of the string is<br/>

Question 7 :
If θ is an acute angle of a right triangle, then the value of sin θ cos (90° – θ) + cos θ sin (90° – θ) is<br/>

Question 8 :
The value of {tex}\frac { sin({ 90 }^{ O }-\theta )sin\theta }{ tan\theta } -1 {/tex} is<br/>

Question 9 :
Which of the following is true for all values of θ (0° < θ < 90°):<br/>

Question 10 :
In ∆ABC, ∠A = 30° and ∠B = 90°. If AC = 8 cm, then its area is<br/>

Question 11 :
(sec² θ – 1) (1 – cosec² θ) is equal to<br/>

Question 12 :
The value of cos 65° sin 25° + sin 65° cos 25° is<br/>

Question 13 :
The value of 3 tan² 26° – 3 cosec² 64° is<br/>

Question 14 :
{tex}\frac { { 1+tan }^{ 2 }A }{ { 1+cot }^{ 2 }A } {/tex} is equal to<br/>

Question 15 :
If a pole 6 m high casts shadow 2 &radic;3 m long on the ground, then the angle of elevation is

Question 16 :
In the given figure, if the angle of elevation is 60° and the distance AB = 10 √3 m, then the height of the tower is<br/>

Question 19 :
The top of a broken tree has its top touching the ground (shown in the given figure) at a distance of 10 m from the bottom. If the angle made by the broken part with the ground is 30°, then the length of the broken part is<br/> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef41b59ce7dae068a37f4a3' class="uploaded-image" />

Question 20 :
If sec θ – tan θ = k, then the value of sec θ + tan θ is<br/>