Question

if A and b are two complementary angles then what is the value of

sin A . sec B + cos B . cosec B

a) 0
b) 1
c) 2
d) none of the above

Give me with step by step method

Give correct answer...or else I will report your 10 answers....​

Answer 1

Correct question-

if A and b are two complementary angles then what is the value of sin A . sec B + cos A. cosec B

Given :

A and B are two complementary angles so, A + B = 90°

To find :

sin A sec B + cos A cosec B = ?

Solution :

Let,

→ x = sin A sec B + cos A cosec B

[ since,  A + B = 90° therefore, ]

→ x = sin A sec ( 90° - A ) + cos A cosec ( 90° - A )

[ since, sec θ = cosec ( 90° - θ ) and cosec ( 90° - θ ) = sec θ ]

→ x = sin A cosec A + cos A sec A

[ since, cosec θ = 1 / sin θ  and sec θ = 1 / cos θ ]

→ x = sin A × 1 / sin A  + cos A × 1 / cos A

→ x = 1 + 1

→ x = 2

therefore,

sin A sec B + cos A cosec B = 2

And, hence

OPTION (c) 2 is correct.

Answer 2

Answer:

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