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Class 12MathematicsTrigonometric FunctionsTrigonometric functions and their propertiesMediumLevel 72

What is the value of (\cos \theta \cdot \sec \theta), when both are defined?

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Answer and explanation

Correct answer: (1)

Since ( \sec \theta=\frac{1}{\cos \theta}), the product becomes (1). In exams identify reciprocal pairs quickly.

Tags

trigonometric-functionsreciprocalproduct

Frequently asked questions

What is the correct answer to this question?

(1)

Why is this the correct answer?

Since ( \sec \theta=\frac{1}{\cos \theta}), the product becomes (1). In exams identify reciprocal pairs quickly.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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10 more MCQs
  1. 1If \(\theta=0^\circ\), what is the value of \(\sin \theta\)?
  2. 2If \(\theta=0^\circ\), what is the value of \(\cos \theta\)?
  3. 3If \(\theta=45^\circ\), what is the value of \(\tan \theta\)?
  4. 4Which trigonometric function is the reciprocal of \(\sin \theta\)?
  5. 5Which trigonometric function is the reciprocal of (\cos \theta)?
  6. 6Which trigonometric function is the reciprocal of (\tan \theta)?
  7. 7What is (\tan \theta) equal to?
  8. 8What is (\cot \theta) equal to?
  9. 9What is the value of the basic identity (\sin^2 \theta+\cos^2 \theta)?
  10. 10What is the value of (\sec^2 \theta-\tan^2 \theta)?
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