Math, asked by vijayverma1854, 7 months ago

cos 80
______ +cos 59 cosec 31

sin 10

Answers

Answered by yesminsemima809
0

Answer:

Answer:

\frac{cos80}{sin10}+cos59\cdot cosec31=2

sin10

cos80

+cos59⋅cosec31=2

Step-by-step explanation:

\frac{cos80}{sin10}+cos59\cdot cosec31

sin10

cos80

+cos59⋅cosec31

=\frac{cos(90-10)}{sin10}+cos59\cdot cosec(90-59)=

sin10

cos(90−10)

+cos59⋅cosec(90−59)

=\frac{sin10}{sin10}+cos59\cdot sec59=

sin10

sin10

+cos59⋅sec59

/*i)cos(90-A)=sinA

ii) cosec(90-A)=secA*/

=1+ 1=1+1

/* cosAsecA = 1 */

=2=2

Therefore,

\frac{cos80}{sin10}+cos59\cdot cosec31=2

sin10

cos80

+cos59⋅cosec31=2

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Step-by-step explanation:

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