alleryStart learning →Evaluate sin 60° cos 30° − cos 60° sin 30°.
- 1/4
- 1/2
- 1
- 3/4
Show answer and solution
Correct answer: B. 1/2
The product terms are 3/4 and 1/4, and 3/4 minus 1/4 leaves 1/2.
SSC CGL Trigonometry — practice questions
Explore 54 free Trigonometry questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Trigonometry with Quill →Trigonometry questions and exercises with answers
Showing questions 1–30 of 54.
Evaluate sin 60° cos 30° − cos 60° sin 30°.Read the answer and worked solution →For an acute angle θ with sin θ = 3/5, what is cos θ?Read the answer and worked solution →If tan θ = 5/12 for an acute angle θ, find sin θ.Read the answer and worked solution →If cos θ = 8/17 and θ is acute, what is tan θ?Read the answer and worked solution →If sin(x + 10°) = cos(x + 20°), find x, taking all angles acute.Read the answer and worked solution →Simplify sin 25° / cos 65°.Read the answer and worked solution →Evaluate cosec 20° − sec 70°.Read the answer and worked solution →What does sin²37° + cos²37° equal?Read the answer and worked solution →The expression 1 − sin²θ is the same asRead the answer and worked solution →The expression cosec²A − cot²A simplifies toRead the answer and worked solution →Simplify (1 − sin²θ) · sec²θ.Read the answer and worked solution →Simplify cos²θ (1 + tan²θ).Read the answer and worked solution →The product (sec θ + tan θ)(sec θ − tan θ) is equal toRead the answer and worked solution →If 4 tan θ = 3, find (4 sin θ − cos θ) / (4 sin θ + cos θ).Read the answer and worked solution →If sin θ = cos θ for an acute θ, then sin⁴θ + cos⁴θ equalsRead the answer and worked solution →If sec θ + tan θ = 2, then sec θ − tan θ equalsRead the answer and worked solution →Given cosec θ − cot θ = 3, find cosec θ + cot θ.Read the answer and worked solution →If tan θ + cot θ = 2, what is tan²θ + cot²θ?Read the answer and worked solution →For acute θ with sin θ = 3/5, find sin 2θ.Read the answer and worked solution →If sin θ = 1/3, find cos 2θ.Read the answer and worked solution →What is the value of 2 tan 22.5° / (1 − tan²22.5°)?Read the answer and worked solution →Evaluate cos²15° − sin²15°.Read the answer and worked solution →The exact value of tan 15° isRead the answer and worked solution →Find sin 50° cos 40° + cos 50° sin 40°.Read the answer and worked solution →What is cos 80° cos 20° + sin 80° sin 20°?Read the answer and worked solution →Find tan 10° tan 20° tan 45° tan 70° tan 80°.Read the answer and worked solution →Evaluate sin²30° + sin²45° + sin²60° + sin²90°.Read the answer and worked solution →Find 2 sin 30° + 3 cos 60° − tan 45°.Read the answer and worked solution →Compute cosec 30° + sec 60° + cot 45°.Read the answer and worked solution →Find sec²45° + cosec²45°.Read the answer and worked solution →
Worked practice questions
For an acute angle θ with sin θ = 3/5, what is cos θ?
- 4/3
- 4/5
- 3/4
- 5/3
Show answer and solution
Correct answer: B. 4/5
cos θ = √(1 − 9/25) = 4/5 because the angle is acute.
If tan θ = 5/12 for an acute angle θ, find sin θ.
- 5/13
- 7/13
- 13/5
- 12/13
Show answer and solution
Correct answer: A. 5/13
The hypotenuse is √(25 + 144) = 13, so sin θ is opposite over hypotenuse, 5/13.
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