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Given, 2cosθ + 8sin2θ = 11 Or, 2cosθ + 8(1 – cos2θ) = 11 [Since, sin2θ = 1 – cos2θ] Or, 2cosθ + 8 – 8cos2θ = 11 Or, 8cos2θ – 2cosθ + 3 = 0 Or, 8cos2θ – 6cosθ + 4cosθ – 3 = 0 Or, 2cosθ(4cos – 3) + 1(4cosθ – 3) = 0 Or, (2cosθ + 1)(4cosθ – 3) = 0 Or, cosθ = (-1/2), (3/4) [(-1/2) is rejected as 0o < θ < 90o] We know that = cosθ = (Base)/(Hypotenuse) = (3/4) (Perpendicular)2 = (Hypotenuse)2 – (Base)2 (Perpendicular)2 = 42 – 32 = 16 – 9 = 7 Perpendicular = √7 So, cotθ = base/perpendicular = (3/√7)
If ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’, and ‘÷’ means ‘+’, what will come in place of the question mark ...
Select the option which is related to the third word exactly as the second word is related to first one.
Enjoyable : Pleasant : : Excellent : ?
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are inte...
Town M is to the west of Town D. Town C is to the south-west of Town D. Town D is to the north of Town B. Town A is to the south of Town C. Town M is to...
In a certain code language, ‘ACCENT’ is coded as ‘CCATNE’. What is the code for ‘ VENDOR ’ in the code language?
...Which of the following terms will replace the question mark (?) in the given series?
GASM, CCOO, YEKQ, ? , QICU
In a certain code language, 'OIL' is coded as 27 and 'CREAM' is coded as 125. How will 'POWDER' be coded in the same language?
How many 7s are there in the following series which are not immediately followed by 3 but immediately preceded by 8?
898762263269732872778747794
'LIGHT' is related to 'MKJLY' in the same way as 'SHOOT' is related to '________'.
If the signs – and ÷ are interchanged, then which of the following equations would be correct?
