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Find the minimum value of 2^("sin" x) + ...

Find the minimum value of `2^("sin" x) + 2^("cos" x)`

A

1

B

2

C

`2^(-(1)/(sqrt(2)))`

D

`2^(1-(1)/(sqrt(2)))`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
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  3. Find the minimum value of 2^("sin" x) + 2^("cos" x)

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  12. The set of values of x in (-pi, pi) satisfying the inequation |4"sin" ...

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  13. If theta in [0, 5pi] and r in R such that 2 sin theta = r^(4) -2r^(2) ...

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  16. If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a re...

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  17. The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution...

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  18. If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 ...

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  20. The solution of the equation "log"("cos"x) "sin" x + "log"("sin"x) "...

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