Math, asked by Praful5251, 6 months ago

If cotA=1√3, show that sin'2 A√1- cos'2 A=3√5

Answers

Answered by Anonymous
9

Answer:

LHS=(1+tan2A)2tanA​+(1+cot2A)2cotA​

(sec2A)2tanA​+(cosec2A)2cotA​

=cos4A1​cosAsinA​​+sin4A1​sinAcosA​​

=sinAcos3A+cosAsin3A

=sinAcosA[sin2A+cos2A]

=sinAcosA=RHS

Hence proved.

Step-by-step explanation:

Previous Question
Next Question
Similar questions
Math, 3 months ago
7. The range of the given data 75, 65, 70 , 85, 90, 80 is 1 a.)90 b). 65 c.) 10 d). 25​...
Social Sciences, 3 months ago
What are natural resources? ​
Science, 3 months ago
20 points !!!! In ethyne which type of hybridization takes place. * sp sp2 sp3 dsp2​...
English, 6 months ago
How can we make our life worth living...
Hindi, 6 months ago
John aur jivanti dono ke pas kul milakar 45kanche h dono ke 5- 5 kanche kho gaye h ab unke pas kancho ki sankhya ka gura 124 h to gyat karo ki start me uske pas kul kitne kanche h...
English, 9 months ago
He may turn _____ when we least expect him to...
English, 9 months ago
Questions and answers of this story...
Science, 9 months ago
why is it not advised to burn plastic and synthatic...