NDA || Mathematics || Trigonometry PYQ - Part VI || Quiz

A vertical tower standing on a levelled field is mounted with a vertical flag staff of length 3 m. From a point on the field, tip of the flag staff are 30 degree and 45 degree respectively. Which one of the following gives the best approximation to the height of the tower?

If sin x + sin y = a and cos x + cos y = b, then  is equal to

Consider the following:

1)

2)

Which of the above is/are correct?

Two poles are 10 m and 20 m high. The line joining their tips makes an angle of 15^o with the horizontal. The distance between the poles is approximately equal to

The Value of  is

On simplifying  we get

The value of sin² 5^o + sin² 10^o + sin² 15^o + sin² 20^o + …….. + sin² 90^o is

Consider the following statements:

1. If  is an equilateral triangle, then .

2. If ABC is a triangle in which  then

3. If ABC is any triangle, then

Which of the above statements is/are correct?

If  and  then what is  equal to?

Consider the following statements :

1. There exists  for which .

2.

Which of the above is/are correct?