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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

If tanθ = 3/4 and θ lies in the third quadrant, then sinθ + cosθ equals:

Answer: −7/5.

  • A 7/5
  • B −7/5
  • C 1/5
  • D −1/5

Correct answer: B. −7/5

Explanation: In the third quadrant both are negative: sinθ = −3/5, cosθ = −4/5, so the sum is −7/5.

xy0 deg30 deg45 deg (1/sqrt2, 1/sqrt2)60 deg90 degcos45sin45

Unit circle with standard angles 0, 30, 45, 60, 90 degrees; at 45 degrees the point is (cos45, sin45) = (1/sqrt2, 1/sqrt2).

Concept context

Ratios, identities, and applications in triangles

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