Question

sec31° sin59° + cos31° cosec59° = 2 prove it without trigonometric table​

Answer 1

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$\implies$$\large\bf{\underline{\red{VERIFIED✔}}}$

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We know that,

1) sec( 90 - A ) = cosecA

2)cos(90 - A ) = sinA

3) cosecAsinA = 1

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LHS = sec31° sin59° +cos31°cosec59°

= Sec( 90-59)sin59+cos(90-59)cosec59

= Cosec59sin59+sin59cosec59

= 1 + 1

= 2

= RHS

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Answer 2

Answer:

1) sec( 90 - A ) = cosecA

2)cos(90 - A ) = sinA

3) cosecAsinA = 1

_____________________________

LHS = sec31° sin59° +cos31°cosec59°

= Sec( 90-59)sin59+cos(90-59)cosec59

= Cosec59sin59+sin59cosec59

= 1 + 1

= 2

= RHS

Step-by-step explanation:

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