allerysin 67° equals which of the following (using complementary angles)?
- tan 67°
- cos 23°
- cos 67°
- sin 23°
Show answer and solution
Correct answer: B. cos 23°
sin(90° − A) = cos A. Here 67° = 90° − 23°, so sin 67° = cos 23°.
CBSE Class 10 Introduction to Trigonometry — practice questions — page 2
Explore 131 free Introduction to Trigonometry questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Introduction to Trigonometry with Quill →Introduction to Trigonometry questions and exercises with answers
Showing questions 31–60 of 131.
sin 67° equals which of the following (using complementary angles)?Read the answer and worked solution →Compute sin 60° · cos 30° − cos 60° · sin 30°.Read the answer and worked solution →Find tan 30° · tan 60°.Read the answer and worked solution →If sin A = 1/2, find cos²A.Read the answer and worked solution →Simplify sec²θ − tan²θ.Read the answer and worked solution →Simplify (1 − cos²θ) / sin²θ for sin θ ≠ 0.Read the answer and worked solution →If sec A = 5/3, find tan A.Read the answer and worked solution →Simplify (sin A + cos A)² + (sin A − cos A)².Read the answer and worked solution →Prove or evaluate: (1 + tan²A)(1 − sin²A).Read the answer and worked solution →The value of sin 30° is:Read the answer and worked solution →The identity sin²θ + cos²θ equals:Read the answer and worked solution →If a tower 30 m tall casts a shadow of 30 m, the angle of elevation of the sun is:Read the answer and worked solution →Angle of depression is measured from:Read the answer and worked solution →CLASS10 · Mathematics · Trigonometric RatiosRead the answer and worked solution →CLASS10 · Mathematics · Heights & Distances — Solve in OrderRead the answer and worked solution →The angle of elevation is the angle measuredRead the answer and worked solution →If the angle of depression of an object from the top of a tower is 30 degrees, the angle of elevation of the tower top from the object isRead the answer and worked solution →A 30 m high tower casts a shadow 30 m long. The angle of elevation of the sun isRead the answer and worked solution →The height of a pole that casts a shadow equal to its own length is found at the time when the sun is atRead the answer and worked solution →For an angle of elevation of 60 degrees, the value of tan isRead the answer and worked solution →The line drawn from the eye of the observer to the object viewed is calledRead the answer and worked solution →A pole of height 10 m makes an angle of elevation of 30 degrees at a point on the ground. The distance of the point from the foot of the pole isRead the answer and worked solution →From a point on the ground 60 m from the foot of a building, the angle of elevation of the top is 30 degrees. The height of the building isRead the answer and worked solution →A tower stands vertically on the ground. The angle of elevation of its top from a point 30 m away is 60 degrees. The height of the tower isRead the answer and worked solution →A vertical pole 10 m long casts a shadow whose length is 10 (square root of 3) m. The angle of elevation of the sun isRead the answer and worked solution →An observer 1.5 m tall is 20.5 m away from a tower 22 m high. The angle of elevation of the top of the tower from the eye of the observer isRead the answer and worked solution →A ladder 15 m long makes an angle of 60 degrees with the wall. The height of the wall reached by the ladder isRead the answer and worked solution →A boy 1.5 m tall stands 8.5 m from a lamp post. His shadow is 4.5 m long. The height of the lamp post isRead the answer and worked solution →The shadow of a tower at a time t is 3 times longer than its shadow when the angle of elevation of the sun is 60 degrees. The angle of elevation at time t isRead the answer and worked solution →A pole leans against a wall such that its tip is 24 m above ground and its foot is 7 m from the wall. The length of the pole isRead the answer and worked solution →
Worked practice questions
Compute sin 60° · cos 30° − cos 60° · sin 30°.
- 1/2
- √3/4
- 1
- 0
Show answer and solution
Correct answer: A. 1/2
(√3/2)(√3/2) − (1/2)(1/2) = 3/4 − 1/4 = 1/2.
Find tan 30° · tan 60°.
- 1/√3
- 1
- 0
- √3
Show answer and solution
Correct answer: B. 1
(1/√3) · √3 = 1.
How to practise
- Choose a Introduction to Trigonometry question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.
Put it into practice
Continue with Introduction to Trigonometry practice for CBSE Class 10. Read explanations as you go. No signup form needed to start.
Practise Introduction to Trigonometry →