RRB Assistant Loco Pilot and Technician Model Paper 6 with solutions

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Question : 10 of 75

Marks: +1, -0

If sin A =

24/25

, the value of tan A + sec A, where θ° < A < 90° is:

7
5
1
$24/7$

Solution:

∵ sin A =

24/25

cos A =

√ { 1 - \sin ^ { 2 } A } = √ { 1 - ( { 24 } /{ 25 }) ^ { 2 } }

=

√ { 1 - { 576 }/ { 625 } } = √ { { 625 - 576 } /{ 625 } }

=

√{ { 49 }/ { 625 } } = { 7 }/ { 25 }

∴ The value of tan A + sec A
=

{ \sin A }/ { \cos A } + { 1 } /{ \cos A }

=

{ 1 + \sin A }/ { \cos A }

=

{ 1 + { 24 }/ { 25 } }/ { { 7 }/ { 25 } } = { 49/25 }/ { { 7 } /{ 25 } } = { 49 }/ { 7 } = 7

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