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θ + sin 0-y2 cos θ , prove that cos θ . sin θ V2 sin θ) or +--, prove that: sec θ + tan θ-2x oran of the following frequency distribution is 24. Find theOR2x4x |
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Answer» SecA=x+1/4x∴, sec²A=(x+1/4x)²=x²+2.x.1/4x+1/16x²=x²+1/2+1/16x²Now, sec²A-tan²A=1or, tan²A=sec²A-1or, tan²A=x²+1/2+1/16x²-1or, tan²A=x²+1/16x²-1/2or, tan²A=x²-2.x.1/4x+1/16x²or, tan²A=(x-1/4x)²or, tanA=+-(x-1/4x)∴, either,secA+tanA=x+1/4x+x-1/4x [when tanA=x+1/4x]=2x or, secA+tanA=x+1/4x-x+1/4x [when tanA=-(x+1/4x)]=1/4x+1/4x=2/4x=1/2x (Proved) |
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