sec a+tan a/cosec a +cot a=cosec a -cot a/sec a-tan a prove it
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= (sec a + tan a)/(cosec a + cot a)
= (1+sin a)sin a/ cos a (1 + cos a)
= ( (1-cos a)/sin a) / ( (1-sin a)/cos a)
= (cosec a - cot a)/(sec a - tan a)
hence prved
Giraffe:
mrk me brnliest
Can you pls do it without cross multiplying
wait
its done
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Given; sec a+tan a/cosec a +cot a=cosec a -cot a/sec a-tan a
To Find; Prove
Solution; seca+tana/cosec a+cota
(1/cosa +sina/cosa)/(1/sina+cosa/Sina)
(1+sina)*sina/(1+cosa)cosa
Solving RHS
cosec a -cot a/sec a-tan a
(1/sina-Cosa/Sina)/(1/cosa-Sina/cosa)
(1-cosa)cosa/(1-sina)Sina
These are equal hence proved
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