Question

If, 15 cot A=8, then find the value of tan A?​

Answer 1

Answer:

Cot A=8/15

It means p=15

B=8

Tan A =15/8

Step-by-step explanation:

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Answer 2

Given

We have given 15cotA= 8

To find

We have to find TanA

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

15cotA= 8

CotA= 8/15

We know that cotθ= Base/perpendicular

So,CotA= 8/15

We have to find TanA ?

we know that Tanθ= perpendicular/base

Tan A =15/8

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Further solve and finding other trigonometric values:

Here, base is 8 & perpendicular is 15

By using Pythagoras theorem:

H²= B²+P²

H²= 8²+15²

H²= 64+225

H²= 289

H=√289

H=17

hence, hypotenuse is 17

SinA= P/H =15/17

CosA=B/H=8/17

SecA=H/B=17/8

CosecA=H/P=17/15

Extra information=>

Other trigonometric formulas and Identities:

trigonometric formulas:

• Sin²θ+cos²θ=1
• sec²θ-tan²θ=1
• cosec²θ-cot²θ=1

Reciprocal Identities:

• Sinθ=1/cosecθ
• cosθ=1/secθ
• Tanθ=1/cotθ

Angle formulas:

• Sin(90-θ)=cosθ
• tan(90-θ)=cotθ
• cosec (90-θ)=secθ
• sec(90-θ)=cosecθ
• cot(90-θ)=tanθ
• cos(90-θ)=sinθ

Even odd identities:

• Sin(-θ)= -sinθ
• tan(-θ)= -tanθ
• Cos(-θ)=cosθ

Quotient identities:

• Tanθ=sinθ/cosθ
• Cotθ=cosθ/sinθ