Latest self Aptitude Question SOLUTION: if A and B are the complementary angles, then the value of sinA cosB + cosA sinB - tanA tanB + sec^2A - cot62B is

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(#M40013787) SELF question Self Keep an EYE

if A and B are the complementary angles, then the value of sinA cosB + cosA sinB - tanA tanB + sec^2A - cot62B is

Arjun (11 years ago)

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Vinay Sipani   (11 years ago)

I assume the last term to be cot^2(B)

Given: A = 90 - B => A+B = 90
=> Sin(A) = Cos(B), tan(A) = Cot (B) , sec^2 (A) = cosec^2 (B)

=>(sinA cosB + cosA sinB) - (tanA tanB) + sec^2(A) - cot^2(B)
= sin(A+B) - (cotB * tanB)+ (cosec^2 B - cot^2 B)
= sin(90) - 1 + 1
= 1

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