Worksheet Solution: Introduction to Trigonometry

# Introduction to Trigonometry Class 10 Worksheet Maths Chapter 8

True and False
Q1: cosA = 4/3 for some angle A.
Ans: Flase

Q2: tanA = sinA/cosA
Ans: True

Q3: secA = 1cosA, for an acute angle
Ans: True

Q4: sin60º = 2sin30º
Ans: Flase

Q5: SinA + CosA = 1
Ans: Flase

Q6: Write the values cos 0°, cos 45°, cos 60° and cos 90°. What happens to the values of cos as angle increases from 0° to 90°?
Ans: cos0 = 1
cos45 = 1/√2
cos 60 = 1/2
cos 90∘ = 0
We can see that values of cos decreases as angle increases from 0° to 90°

Q7: Write the values of tan 0°,tan 30°, tan 45°, tan 60° and tan 90°. What happens to the values of tan as angle increases from 0° to 90°?
Ans:
tan 0 = 0
tan 30 = 1/√3
tan 60 = √3
cos 90∘ = undefind
We can see that values of cos decreases as angle increases from 0° to 90°

Q8: If cosec A = √10 . find other five trigonometric ratios.
Ans:
Given cosec A = √10

Now By Pythagoras theorem

Q9: The value of (sin 30 + cos 30) − (sin 60 + cos 60) is
Ans:

Q10: Evaluate the following: 2sin2 30 − 3cos245 + tan260
Ans:

Q11: Evaluate:
cot230∘  − 2cos260 − 3/4sec245 − 4sec230
Ans:

Q12: Write the values of sin 0°, sin 30°, sin 45°, sin 60° and sin 90°. What happens to the values of sin as angle increases from 0° to 90°?
Ans:

We can see that values of sin increases as angle increases from 0° to 90°

Q13: If sin A = 3/5 .find cos A and tan A.
Ans:

Now By Pythagoras theorem

Q14: In a right triangle ABC right angled at B if sinA = 3/5. find all the six trigonometric ratios of C.
Ans:

Now By Pythagoras theorem

Q15: If sinB = 1/2 , show that 3 cosB − 4 cos3B = 0
Ans:

The document Introduction to Trigonometry Class 10 Worksheet Maths Chapter 8 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

## Mathematics (Maths) Class 10

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## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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