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ICSE-TRIGONOMETRICAL FUNCTIONS -Exercise 4(b)
- Prove that secthetacottheta="cosec"theta
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- Prove that tantheta+cottheta=secthetacosectheta.
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- Prove that (costheta)/(sectheta-tantheta)=1+sintheta.
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- Prove that (1+costheta-sin^(2)theta)/(sintheta(1+costheta))=cottheta
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- Prove that (3-4sin^(2)theta)/(cos^(2)theta)=3-tan^(2)theta
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- Prove that (tanA+cotA)sinAxxcosA=1
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- Prove that cosA=(cotA)/("cosec A")=(cotA)/(sqrt((1+cot^(2)A)))" "(A ...
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- Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta.
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- Prove that sec^(2)A+"cosec"^(2)A=sec^(2)A"cosec"^(2)A.
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- Prove that sin^(3)theta+cos^(3)theta=(sintheta+costheta)(1-sin theta...
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- Prove that sin^(2)phi(1+cot^(2)phi)=1
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- Prove that . cosec^(2)A+sec^(2)A = (tanA+cotA)^(2)
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- Prove that sec^(4)A-sec^(2)A=tan^(2)A+tan^(4)A.
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- Prove that ("cosec "theta-sintheta)(sectheta-costheta)(tantheta+cott...
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- Prove that (cotA+tanB)/(cotB+tanA)=cotAtanB
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- Prove that (sinalpha)/(1+cosalpha)+(1+cosalpha)/(sin alpha)=2"cosec ...
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- Prove that 1+(1)/(cosA)=(tan^(2)A)/(secA-1)
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- Prove that (1+cosA)/(1-cosA)=("cosec" A+cotA)^(2)
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- If tan theta+sin theta=alpha and tan theta-sin theta=beta, show that a...
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