SSC CPO SI and ASI Model Paper 6

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Question : 134 of 200

Marks: +1, -0

If α is an acute angle and

sin α = 20 /29

, then find tan (90° – α).

$23/ 20$
$21/ 20$
$21/ 23$
$23/ 29$

Solution:

(2) sin α

= 20/29

cosec α=

29/20

∴ tan (90°-α) = cot α

= √{cosec^2 -1}

=√{[29 /20]^2-1}={841- 400} /400=21/20

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