Question

If theta is equal to 45 degree then find the value of 2 cosec square theta + 3 sec square theta

Answer 1

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Answer 2

The value of the given trigonometric expression is 10.

Step-by-step explanation:

We have been given that

$\theta=45^{\circ}$

We have to find the value of the trigonometric expression

$2\csc^2\theta+3\sec^2\theta$

Substitute the value of Ф

$2\csc^2(45^{\circ})+3\sec^2(45^{\circ})$

Evaluating the trigonometric values at Ф = 45° and then simplify the expression

$2(\sqrt2)^2+3(\sqrt2)^2\\\\=2\cdot2+3\cdot2\\\\=4+6\\\\=10$

Therefore, the value of the given trigonometric expression is 10.

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