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For 0 le theta le pi/2 the maximum valu...

For ` 0 le theta le pi/2` the maximum value of ` sin theta + cos theta ` is

A

1

B

2

C

`sqrt2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
We have that maximum value of
a sin ` theta + b cos theta = sqrt(a^(2) +b^(2))`
Maximum value of ` sin theta + cos theta = sqrt(1+1) =sqrt2`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-TRIGONOMETRIC FUNCTIONS -EXERCISE 2 (MISCELLANEOUS PROBLEMS)
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  3. (sin(90^(@) -theta)sin theta)/(tan theta) + sin^(2) theta is equal to

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  4. If tantheta=(20)/(21) , show that (1-sintheta+costheta)/(1+sintheta...

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  5. For 0 le theta le pi/2 the maximum value of sin theta + cos theta i...

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  6. (cos 70^(@))/(sin 20^(@)) + (cos 59^(@))/(sin 31^(@) ) - 8 sin^(2) 30^...

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  7. If sin theta = 1/2 and theta is acute then (3 cos theta -4 cos^(3) ...

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  9. If theta "is theta " and (cos^(2)theta)/(cot^(2) theta -cos^(2) theta)...

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  10. The value of (1+cos (pi/6))(1+cos(pi/3))(1+cos ((2pi)/3))(1+cos((7pi...

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  11. If cos 20^(@) - sin 20^(@) =p " then " cos 40^(@) is equal to

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  12. If Sn=cos^ntheta+sin^n tehta then find teh value of 3S4-2S6

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  19. If sec theta + tan theta = k, cos theta equals to

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