Given tan theta =9, use trigonometric identities to find the exact value of each of the following: a) sec sqr Theta
b) Cot theta
c) cot (pie/2-Theta)
d) csc sqr theta

Step-by-step explanation:

Given

Required

Solve (a) to (d)

Using tan formula, we have:

This gives:

Rewrite as:

Using a unit ratio;

Using Pythagoras theorem, we have:

Take square roots of both sides

So, we have:

Solving (a):

This is calculated as:

Where:

So:

Solving (b):

This is calculated as:

Where:

---- given

So:

Solving (c):

In trigonometry:

Hence:

Solving (d):

This is calculated as:

Where:

So:

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

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step-by-step explanation: