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Question
If `sin θ = 1/sqrt(2)` and `tan ф = 1/sqrt(3)` then (2θ + ф) is equal to ______.
Options
75°
90°
120°
150°
MCQ
Fill in the Blanks
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Solution
If `sin θ = 1/sqrt(2)` and `tan ф = 1/sqrt(3)` then (2θ + ф) is equal to 120°.
Explanation:
`sin θ = 1/sqrt(2)`
⇒ Take the acute value `θ = 45^circ . tan ф = 1/sqrt(3)`
⇒ Take the acute value ф = 30°.
So, 2θ + ф
= 2 × 45° + 30°
= 120°
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