prove that : (sinQ+cosecQ)+(cosQ+secQ)=7+tanQ+cotQ
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Answer:
(sinQ+cosecQ)+(cosQ+SecQ)
Squaring on both sides
- (sinQ+cosecQ)²+(cosQ+secQ)²
- sinQ²+cosecQ²+2×sin²×cosec²+cosQ²+secQ²+2×cosQ²×secQ²
- sinQ²+cosQ²+cosecQ²+secQ²+2+2
- 1+4+cosecQ²+secQ²
- 5+(1+cotQ²)+(1+secQ²)
- 5+1+cotQ²+1+secQ²
- 5+1+1+cotQ²+secQ²
- 7+cotQ²+tanQ²
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