Question

Without using a calculator, determine the value of: sin 60° x tan30° sec45° ​

Answer 1

Answer:

$\frac{1}{2}$

Step-by-step explanation:

I've used 'unit triangles' to calculate various trig values without a calculator at all!

Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.

I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.

Please give comments if you need further explanation from me!

Best of luck, Kenny!

Answer 2

Hey there !

We know that ,

Sin 60° = √3/2

Tan 30° = 1/√3

Sec 45° = √2

Now ,

Sin 60° tan 30° sec 45° = √3/2 x 1/√3 x √2

=> √2/2

Hope this helps you.