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If theta and phi are angles in the first...

If `theta` and `phi` are angles in the first quadrant such that `tan theta = 1//7` and `sin phi =1 // sqrt( 10)` , then

A

`theta + 2 phi = 90^(@)`

B

`theta = 2phi = 30^(@)`

C

`theta+2phi = 75^(@)`

D

`theta + 2 phi = 45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-MISCELLANEOUS EXERCISE (SELF ASSESSMENT TEST)
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  6. The value of sqrt3 cosec20^@-sec20^@ is equal to:

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  7. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  8. If tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), ...

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  9. If cos(A-B)=3/5and tan A tanB=2, then

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  10. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

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  11. If Sigma n^2 = lambda Sigma n, then sin^(-1) "" ((9 lambda^2 - 4 n^2)/...

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  12. If A = 580^(@) then

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  13. If 2 cos ( A//2) = sqrt(( 1+ sin A )) - sqrt(( 1- sin A )) , then

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  15. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

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  16. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

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  17. Let theta , phi in [0,2pi ] be such that 2 cos theta ( 1- sin phi ) = ...

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  18. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

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  19. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as :

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