alleryIn a right triangle, cos A · sec A equals:
- tan A
- 0
- 1
- sin A
Show answer and solution
Correct answer: C. 1
sec A is defined as 1/cos A, so cos A · sec A = cos A · (1/cos A) = 1.
Maharashtra SSC (Class 10) Introduction to Trigonometry — practice questions — page 2
Explore 50 free Introduction to Trigonometry questions in Maharashtra SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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In a right triangle, cos A · sec A equals:Read the answer and worked solution →Evaluate sin 30° + cos 60°.Read the answer and worked solution →Find tan 45° + cot 45°.Read the answer and worked solution →Evaluate cos 60° · sin 30° + sin 60° · cos 30°.Read the answer and worked solution →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 →If the two lines represented by a pair of linear equations intersect at a single point, the pair hasRead the answer and worked solution →
Worked practice questions
Evaluate sin 30° + cos 60°.
- 1
- 2
- 3/2
- 1/2
Show answer and solution
Correct answer: A. 1
sin 30° = 1/2 and cos 60° = 1/2. Sum: 1/2 + 1/2 = 1.
Find tan 45° + cot 45°.
- undefined
- 0
- 1
- 2
Show answer and solution
Correct answer: D. 2
tan 45° = 1 and cot 45° = 1. Sum: 2.
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