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Prove that : tantheta+tan(90^(@)-theta)=...

Prove that : `tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)`

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To prove the identity \( \tan \theta + \tan(90^\circ - \theta) = \sec \theta \cdot \sec(90^\circ - \theta) \), we will start by analyzing both sides of the equation. ### Step 1: Start with the Left-Hand Side (LHS) We begin with the left-hand side of the equation: \[ \tan \theta + \tan(90^\circ - \theta) \] ...
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Prove that tanthetatan(90^(@)-theta)=1

Prove that sinthetacos(90^(@)-theta)=sin^(2)theta

Prove that 1 + tan 2 theta tan theta = sec 2 theta .

Evaluate sinthetacos(90^(@)-theta)+costhetasin(90^(@)-theta) .

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(costhetasin(90^0-theta)sintheta)/(cos(90^0-theta))=1

Prove that : (sin \theta . sin(90^(@) - \theta))/(cot (90^(@) - \theta)) = 1 - sin^(2) \theta

Prove that: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .

Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
  1. In P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

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  2. Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

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  3. Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

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  4. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

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  5. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  6. Show that 1+cot^2alpha / (1+cosec alpha)=cosec alpha

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  7. (sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

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  8. about to only mathematics

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  9. If 2sin^(2)theta-cos^(2)theta=2, then find the value of theta.

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  10. if tantheta+sectheta=l then prove that sectheta=(l^2+1)/(2l)

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  11. If asintheta+bcostheta=c then prove that acostheta-bsintheta=sqrt(a^2+...

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  12. If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(...

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  13. Prove that : tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)

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  14. Shown that : tan48^(@)tan23^(@)tan42^(@)tan67^(@)=1

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  15. If tan A= cot B. prove that : A+B=90^(@)

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  16. Express sin 67^(@)+cos75^(@) in terms of trigononmertic ratios of angl...

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  17. If tan A=cot (A-18^(@)) where 2A is an acute angle , find the value of...

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  18. If s e c4A=cos e c(A 20o) , where 4A is an acute angle, find the v...

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  19. The value of the expression cosec (75^(@)+theta) - sec(15^@)-theta)-ta...

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  20. If cos(alpha + beta)=0, then sin(alpha-beta) can be reduced to

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