If cosec θ = 13/12, then sin θ + cos θ - tan θ is equal to:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. -71/65
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Concept |
Understanding |
Application |
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cosec θ = hypotenuse/perpendicular sin θ = perpendicular/hypotenuse, cos θ = Base/hypotenuse tan θ = perpendicular/Base |
Given cosec θ = 13/12 = hypotenuse/ perpendicular |
Using Pythagoras theorem: 132 = (base)2 + 122 (base)2 = √(169 - 144) Base = 5 Now, sin θ + cos θ - tan θ ⇒ 12/13 + 5/13 - 12/5 ⇒ (60 + 25 - 156)/65 ⇒ -71/65 |