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CDS || Mathematics || Trigonometry || 21-01-2019

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Question 1

An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60 and 45 respectively. What is the height of the lower plane from the ground?

Question 2

If tan + cot = 2, then what is sin+cos equal to?

Question 3

If
Then what is the value of tan?

Question 4

if are complementary angles then. What is equal to?

Question 5

A ball is dropped from a height 64 m above the ground and every time it hits the ground it rises to a height equal to half of the previous. What is the height attained after it hits the ground for the 16th time?

Question 6

The shadow of a tower is 15 m when the sun’s altitude is 30°. What is the length of the shadow when the sun’s altitude is 60°?

Question 7

If and then which one of the following is correct?

Question 8

What is equal to for any real number θ?

Question 9

Consider the following statements:
1). sin66 ° is less than cos66 °
2). sin26 ° is less than cos26 °
Which of the above statements is/are correct?

Question 10

If then what is the value of tan x?
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Jan 19CDS & Defence